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<rfc submissionType="IETF" docName="draft-ietf-ipsecme-ikev2-multiple-ke-00" updates="7296" category="std" ><?rfc compact="yes"?>
	<?rfc text-list-symbols="ooo*-o+"?>
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	<?rfc strict="yes"?>
	<?rfc toc="yes"?>
	<front>
	<title abbrev="Multiple Key Exchanges in IKEv2">Multiple Key Exchanges in IKEv2</title>
	<author fullname="C. Tjhai" initials="C." surname="Tjhai">
	<organization>Post-Quantum</organization>
	<address><postal><street></street>
	</postal>
	<email>cjt@post-quantum.com</email>
	</address>
	</author>

	<author fullname="M. Tomlinson" initials="M." surname="Tomlinson">
	<organization>Post-Quantum</organization>
	<address><postal><street></street>
	</postal>
	<email>mt@post-quantum.com</email>
	</address>
	</author>

	<author fullname="G. Bartlett" initials="G." surname="Bartlett">
	<organization>Cisco Systems</organization>
	<address><postal><street></street>
	</postal>
	<email>grbartle@cisco.com</email>
	</address>
	</author>

	<author fullname="S. Fluhrer" initials="S." surname="Fluhrer">
	<organization>Cisco Systems</organization>
	<address><postal><street></street>
	</postal>
	<email>sfluhrer@cisco.com</email>
	</address>
	</author>

	<author fullname="D. Van Geest" initials="D." surname="Van Geest">
	<organization>ISARA Corporation</organization>
	<address><postal><street></street>
	</postal>
	<email>daniel.vangeest@isara.com</email>
	</address>
	</author>

	<author fullname="O. Garcia-Morchon" initials="O." surname="Garcia-Morchon">
	<organization>Philips</organization>
	<address><postal><street></street>
	</postal>
	<email>oscar.garcia-morchon@philips.com</email>
	</address>
	</author>

    <author fullname="Valery Smyslov" initials="V." surname="Smyslov">
    <organization>ELVIS-PLUS</organization>
    <address><postal><street></street>
    </postal>
    <email>svan@elvis.ru</email>
    </address>
    </author>

    <date/>
	<workgroup>Internet Engineering Task Force (IETF)</workgroup>
	<abstract>
        <t> This document describes how to extend the Internet Key Exchange Protocol
		Version 2 (IKEv2) to allow multiple key exchanges to take place 
        while computing of a shared secret during a Security Association (SA) setup.
        The primary application of this feature in IKEv2 is the ability to perform one or more 
        post-quantum key exchanges in conjunction with the classical (Elliptic Curve) Diffie-Hellman key exchange,
        so that the resulting shared key is resistant against quantum computer attacks.
        Another possible application is the ability to combine several key exchanges 
        in situations when no single key exchange algorithm is trusted by both initiator and responder.
        </t>

        <t> This document updates RFC7296 by renaming a tranform type 4 from "Diffie-Hellman Group (D-H)"
        to "Key Exchange Method (KE)" and renaming a field in the Key Exchange Payload from "Diffie-Hellman Group Num"
        to "Key Exchange Method". It also renames an IANA registry for this transform type 
        from "Transform Type 4 - Diffie-Hellman Group Transform IDs" to 
        "Transform Type 4 - Key Exchange Method Transform IDs". These changes generalize 
        key exchange algorithms that can be used in IKEv2.
        </t>
    </abstract>
	</front>

	<middle>
	<section title="Introduction" >
		<section title="Problem Description" ><t>
			Internet Key Exchange Protocol (IKEv2) as specified in <xref target="RFC7296"/> 
            uses the Diffie-Hellman (DH) or Elliptic Curve
			Diffie-Hellman (ECDH) algorithm to establish a shared secret
			between an initiator and a responder.  The security of the DH and
			ECDH algorithms relies on the difficulty to solve a discrete logarithm
			problem in multiplicative and elliptic curve groups respectively when
			the order of the group parameter is large enough.  While solving such
			a problem remains difficult with current computing power, it is
			believed that general purpose quantum computers will be able to solve
			this problem, implying that the security of IKEv2 is compromised.
			There are, however, a number of cryptosystems that are conjectured to
			be resistant against quantum computer attack.  This family of
			cryptosystems are known as post-quantum cryptography (PQC).  It is
			sometimes also referred to as quantum-safe cryptography (QSC) or
			quantum-resistant cryptography (QRC).
		</t></section>

		<section title="Proposed Extension" >
            <t>
			This document describes a method to perform multiple successive key 
            exchanges in IKEv2. It allows integration of QSC in IKEv2, while
			maintaining backwards compatibility, to derive a set of IKE keys that
			is resistant to quantum computer attacks.  This extension allows the
			negotiation of one or more QSC algorithm to exchange data, in addition
			to the existing DH or ECDH key exchange data.  We believe that the
			feature of using more than one post-quantum algorithm is important as
			many of these algorithms are relatively new and there may be a need to
			hedge the security risk with multiple key exchange data from several
			distinct QSC algorithms.
            </t>

            <t>
			The secrets established from each key exchange are combined in a way
			such that should the post-quantum secrets not be present, the derived
			shared secret is equivalent to that of the standard IKEv2; on the
			other hand, a post-quantum shared secret is obtained if both classical
			and post-quantum key exchange data are present.  This extension also
			applies to key exchanges in IKE Security Associations (SAs) for
			Encapsulating Security Payload (ESP) <xref target="RFC4303"/> or
			Authentication Header (AH) <xref target="RFC4302"/>, i.e. Child SAs,
			in order to provide a stronger guarantee of forward security.</t>

            <t>
			Some post-quantum key exchange payloads may have size larger than
			the standard maximum transmission unit (MTU) size, and therefore there could be issues with
			fragmentation at IP layer.  IKE does allow transmission over TCP
			where fragmentation is not an issue <xref target="RFC8229"/>;
			however, we believe that a UDP-based solution will be required
			too.  IKE does have a mechanism to handle fragmentation within
			UDP <xref target="RFC7383"/>, however that is only applicable to
			messages exchanged after the IKE_SA_INIT.  To use this mechanism,
			this specification relies on the IKE_INTERMEDIATE exchange as outlined in
			<xref target="I-D.ietf-ipsecme-ikev2-intermediate"/>.  With this
			mechanism, we do an initial key exchange, using a smaller, possibly
			non-quantum resistant primitive, such as ECDH.  Then, before we do
			the IKE_AUTH exchange, we perform one or more IKE_INTERMEDIATE exchanges,
			each of which contains an additional key exchange.  As the IKE_INTERMEDIATE
			exchange is encrypted, the IKE fragmentation protocol <xref target="RFC7383" />
			can be used. The IKE SK_* values are updated after each exchange,
			and so the final IKE SA keys depend on all the key exchanges,
			hence they are secure if any of the key exchanges are secure.</t>

            <t>
			Note that readers should consider the approach defined in this document as
			providing a long term solution in upgrading the IKEv2 protocol to
			support post-quantum algorithms.  A short term solution to make IKEv2
			key exchange quantum secure is to use post-quantum pre-shared keys as
			discussed in <xref target="I-D.ietf-ipsecme-qr-ikev2"/>.</t>

            <t> Note also, that the proposed approach of performing multiple successive key exchanges
            in such a way that resulting session keys depend on all of them is not limited
            to achieving quantum resistance only. It can also be used when all 
            the performed key exchanges are classical (EC)DH ones, but for some reasons
            (e.g. policy requirements) it is essential to perform multiple of them.
            </t>
		</section>

    	<section title="Changes" >
            <t>RFC EDITOR PLEASE DELETE THIS SECTION.</t>

            <t> Changes in this draft in each version iterations.</t>
    
            <t>draft-ietf-ipsecme-ikev2-multiple-ke-00</t>
            <t><list style="symbols">
            <t>Draft name changed as result of WG adoption and generalization of the approach.</t>
            <t>New exchange IKE_FOLLOWUP_KE is defined for additional key exchanges performed after CREATE_CHILD_SA.</t>
            <t>Nonces are removed from all additional key exchanges.</t>
            <t>Clarification that IKE_INTERMEDIATE must be negotiated is added.</t>
            </list></t>

            <t>draft-tjhai-ipsecme-hybrid-qske-ikev2-04</t>
            <t><list style="symbols">
            <t>Clarification about key derivation in case of multiple key exchanges in CREATE_CHILD_SA is added.</t>
            <t>Resolving rekey collisions in case of multiple key exchanges is clarified.</t>
            </list></t>
        
            <t>draft-tjhai-ipsecme-hybrid-qske-ikev2-03</t>
            <t><list style="symbols">
            <t>Using multiple key exchanges CREATE_CHILD_SA is defined.</t>
            </list></t>
    
            <t>draft-tjhai-ipsecme-hybrid-qske-ikev2-02</t>
            <t><list style="symbols">
        	<t>Use new transform types to negotiate additional key exchanges,
        	rather than using the KE payloads of IKE SA.</t>
         	</list></t>
    
            <t>draft-tjhai-ipsecme-hybrid-qske-ikev2-01</t>
            <t><list style="symbols">
     		<t>Use IKE_INTERMEDIATE to perform multiple key exchanges in succession.</t>
     		<t>Handle fragmentation by keeping the first key exchange (a standard
     		IKE_SA_INIT with a few extra notifies) small, and encrypting the rest
     		of the key exchanges.</t>
    
     		<t>Simplify the negotiation of the ‘extra’ key exchanges.</t>
     	    </list></t>
    
            <t>draft-tjhai-ipsecme-hybrid-qske-ikev2-00</t>
            <t><list style="symbols">
    		<t>We added a feature to allow more than one post-quantum key
            exchange algorithms to be negotiated and used to exchange a post-
            quantum shared secret.</t>
    		<t>Instead of relying on TCP encapsulation to deal with IP level
    		fragmentation, we introduced a new key exchange payload that can
    		be sent as multiple fragments within IKE_SA_INIT message.</t>
    	    </list>
            </t>
        </section>
    
    	<section title="Document Organization" >
            <t>
            The remainder of this document is organized as follows.  <xref target="design"/>
            summarizes design criteria.  <xref target="framework"/> describes how
    	    multiple key exchanges are performed between two IKE peers and how
    	    keying materials are derived for both SAs and Child SAs.  A summary of alternative
    	    approaches that have been considered, but later discarded, are described
    	    in <xref target="altdesign"/>.  <xref target="IANA"/>
            discusses IANA considerations for the namespaces introduced in this
    	    document, and lastly <xref target="security"/> discusses security considerations.
            </t>
    
            <t> The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", 
            "RECOMMENDED", "NOT RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted 
            as described in BCP 14 <xref target="RFC2119" /> <xref target="RFC8174" /> when, and only when, 
            they appear in all capitals, as shown here.
            </t>
     	</section>
	</section>

	<section title="Design Criteria" anchor="design">
        <t>
        The design of the proposed extension is driven by the
        following criteria:</t>
    
    	<t><list style="hanging" hangIndent="5"><t hangText="1)">
    	Need for post-quantum cryptography in IPsec.  Quantum computers
    	might become feasible in the near future.  If current
        Internet communications are monitored and recorded today (D),
        the communications could be decrypted as soon as a quantum-
        computer is available (e.g., year Q) if key negotiation only
        relies on non post-quantum primitives.  This is a high threat
        for any information that must remain confidential for a long
        period of time T &gt; Q-D.  The need is obvious if we assume that Q
        is 2040, D is 2020, and T is 30 years.  Such a value of T is
        typical in classified or healthcare data.
    	</t>
    
    	<t hangText="2)">
    	Hybrid.  Currently, there does not exist a post-quantum key
    	exchange that is trusted at the level that ECDH is trusted
        against conventional (non-quantum) adversaries.  A hybrid
        post-quantum algorithms to be introduced
        next to well-established primitives, since the overall security
        is at least as strong as each individual primitive.
    	</t>
    
    	<t hangText="3)">
    	Focus on quantum-resistant confidentiality. A passive attacker
    	can eavesdrop on IPsec communication today and decrypt it once a
        quantum computer is available in the future. This is a very
        serious attack for which we do not have a solution. An attacker
        can only perform active attacks such as impersonation of the
        communicating peers once a quantum computer is available,
        sometime in the future. Thus, our design focuses on quantum-
        resistant confidentiality due to the urgency of this problem.
        This document does not address quantum-resistant authentication
        since it is less urgent at this stage.
    	</t>
    
    	<t hangText="4)">
    	Limit amount of exchanged data.  The protocol design should be
    	such that the amount of exchanged data, such as public-keys, is
        kept as small as possible even if initiator and responder need
        to agree on a hybrid group or multiple public-keys need to be
        exchanged.
    	</t>
    
    	<t hangText="5)">
    	Future proof.  Any cryptographic algorithm could be potentially
    	broken in the future by currently unknown or impractical
        attacks: quantum computers are merely the most concrete example
        of this.  The design does not categorize algorithms as "post-quantum"
    	or "non post-quantum" and does not create assumptions
        about the properties of the algorithms, meaning that if
        algorithms with different properties become necessary in the future,
        this extension can be used unchanged to facilitate migration to
        those algorithms.
    	</t>
    
    	<t hangText="6)">
    	Limited amount of changes.  A key goal is to limit the number of
    	changes required when enabling a post-quantum handshake.  This
        ensures easier and quicker adoption in existing implementations.
    	</t>
    
    	<t hangText="7)">
    	Localized changes.  Another key requirement is that changes to
    	the protocol are limited in scope, in particular, limiting
        changes in the exchanged messages and in the state machine, so
        that they can be easily implemented.
    	</t>
    
    	<t hangText="8)">
    	Deterministic operation.  This requirement means that the hybrid
    	post-quantum exchange, and thus, the computed keys, will be based
        on algorithms that both client and server wish to support.
    	</t>
    
    	<t hangText="9)">
    	Fragmentation support.  Some PQC algorithms could be relatively
    	bulky and they might require fragmentation.  Thus, a design goal
        is the adaptation and adoption of an existing fragmentation
        method or the design of a new method that allows for the
        fragmentation of the key shares.
    	</t>
    
    	<t hangText="10)">
    	Backwards compatibility and interoperability.  This is a
    	fundamental requirement to ensure that hybrid post-quantum IKEv2
        and a non-post-quantum IKEv2 implementations are interoperable.
    	</t>
    
    	<t hangText="11)">
    	Federal Information Processing Standards (FIPS) compliance.  IPsec is widely used in Federal Information
    	Systems and FIPS certification is an important requirement.
        However, algorithms that are believed to be post-quantum are not
        FIPS compliant yet.  Still, the goal is that the overall hybrid
        post-quantum IKEv2 design can be FIPS compliant.
    	</t>
    
        <t hangText="12)">
        Ability to use this method with multiple classical (EC)DH key exchanges.
        In some situations peers have no single mutually trusted key exchange
        algorithm (e.g., due to local policy restrictions).
        The ability to combine two (or more) key exchange methods
        in such a way that the resulting shared key depends on all of them
        allows peers to communicate in this situation.
        </t>

        </list>
    	</t>

	</section>

	<section title="Multiple Key Exchanges" anchor="framework">
		<section title="Overall design">
            <t> This design assigns new Transform Type 4 identifiers to the
			various post-quantum key exchanges (which will be defined later).  We
			specifically do not make a distinction between classical (DH and ECDH)
			and post-quantum key exchanges, nor post-quantum algorithms which are
			true key exchanges versus post-quantum algorithms that act as key
			transport mechanisms; all are treated equivalently by the
			protocol. To be more specific, this document
            renames Transform Type 4 from "Diffie-Hellman Group (D-H)"
            to "Key Exchange Method (KE)" and renames a field in the Key Exchange Payload from "Diffie-Hellman Group Num"
            to "Key Exchange Method". The corresponding IANA registry is also renamed
            from "Diffie-Hellman Group Transform IDs" to "Key Exchange Method Transform IDs".
            </t>

            <t> In order to support IKE fragmentation for additional key exchanges
            that may have long public keys, the proposed framework utilizes the IKE_INTERMEDIATE exchange 
            defined in <xref target="I-D.ietf-ipsecme-ikev2-intermediate"/>.
            </t>

            <t> In order to minimize communication overhead, only the key shares that are agreed to be used
			are actually exchanged. In order to achieve this several new
            Transform Types are defined, each sharing possible Transform IDs 
            with Transform Type 4. The IKE_SA_INIT message includes one or more newly defined SA transforms 
			that lists the extra key exchange policy required by the
			initiator; the responder selects single transform of each type, and
			returns them back in the response IKE_SA_INIT message. 
            Then, provided that additional key exchanges are negotiated the initiator and the responder 
            perform one or more IKE_INTERMEDIATE exchanges; each such exchange includes a KE payload 
            for one of the negotiated key exchanges.</t>

            <t>Here is an overview of the initial exchanges:</t>

            <figure><artwork align="center" ><![CDATA[
Initiator                             Responder
---------------------------------------------------------------------
<-- IKE_SA_INIT (additional key exchanges negotiation) -->

<-- {IKE_INTERMEDIATE (additional key exchange)} -->

                         ...

<-- {IKE_INTERMEDIATE (additional key exchange)} -->

<-- {IKE_AUTH} -->
            ]]></artwork></figure>

            <t> The additional key exchanges may use algorithms that are
    		currently considered to be resistant to quantum computer attacks.  These
    		algorithms are collectively referred to as post-quantum algorithms in
    		this document. However, it is also possible to use classical (EC)DH primitives for non post-quantum requirements.</t>
    
            <t> Most post-quantum key agreement algorithms are relatively new, and
            thus are not fully trusted.  There are also many proposed algorithms,
            with different trade-offs and relying on different hard problems.  The
            concern is that some of these hard problems may turn out to be easier
            to solve than anticipated (and thus the key agreement algorithm not be
            as secure as expected).  A hybrid solution allows us to deal with this
            uncertainty by combining a classical key exchange with a post-quantum
            one, as well as leaving open the possibility of multiple post-quantum
            key exchanges.</t>

            <t> The method that we use to perform additional key exchanges also addresses
            the fragmentation issue.  The initial IKE_INIT messages do not have any
            inherent fragmentation support within IKE; however that can include a
            relatively short KE payload (e.g. one for group 14, 19 or 31).  The
            rest of the KE payloads are encrypted within IKE_INTERMEDIATE messages; because
            they are encrypted, the standard IKE fragmentation solution
            <xref target="RFC7383"/> is available.</t>

            <t> The fact that all Additional Key Exchange Transform Types share
            the same registry with Transform Type 4 allows additional key exchanges
            to be of any type - either post-quantum ones or classical (EC)DH ones.
            This approach allows any combination of defined key exchange methods
            to take place. This also allows performing a single post-quantum 
            key exchange in the IKE_SA_INIT without additional key exchanges, 
            provided that IP fragmentation is not an issue and that hybrid key exchange is not needed.
            </t>
        </section>

    	<section title="Overall Protocol">
            <t> In the simplest case, the initiator is happy with a single key exchange
    		(and has no interest in supporting multiple), and it is not concerned
    		with possible fragmentation of the IKE_SA_INIT messages (either because
    		the key exchange it selects is small enough not to fragment, or the initiator is
    		confident that fragmentation will be handled either by IP fragmentation,
    		or transport via TCP).</t>
    
            <t> In this case, the initiator performs the IKE_SA_INIT as standard,
    		inserting a preferred key exchange (which is possibly a post-quantum
    		algorithm) as the listed Transform Type 4, and including the initiator
    		KE payload.  If the responder accepts the policy, it responds with an
    		IKE_SA_INIT response, and IKE continues as usual.</t>
    
            <t> If the initiator desires to negotiate multiple key exchanges, or it
    		needs IKE to handle any possible fragmentation, then the initiator uses the protocol
    		listed below.</t>
    
            <section title="IKE_SA_INIT Round: Negotiation" >
                <t> Multiple key exchanges are negotiated using the standard IKEv2 mechanism, via SA payload.
                For this purpose several new transform types, namely Additional Key Exchange 1, Additional Key Exchange 2,
                Additional Key Exchange 3, etc., are defined. They are collectively called Additional Key Exchanges 
                and have slightly different semantics than existing IKEv2 transform types.
                They are interpreted as additional key exchanges that peers agreed to perform
                in a series of IKE_INTERMEDIATE exchanges. The possible transform IDs for these transform types 
                are the same as IDs for the Transform Type 4, so they all share a single IANA registry for transform IDs.
                </t>

                <t> Key exchange method negotiated via Transform Type 4 MUST always take place
                in the IKE_SA_INIT exchange. Additional key exchanges negotiated via newly
                defined transforms MUST take place in a series of IKE_INTERMEDIATE exchanges, in an order of the values of their transform types, 
                so that key exchange negotiated using Transform Type n always precedes that of
                Transform Type n + 1. Each IKE_INTERMEDIATE exchange MUST bear exactly one key exchange method. 
                Note that with this semantics, Additional Key Exchanges transforms are not associated
                with any particular type of key exchange and don't have any specific per transform type transform IDs IANA registry. 
                Instead they all share a single registry for transform IDs - "Key Exchange Method Transform IDs", as well as Transform Type 4. 
                All new key exchange algorithms (both classical or post-quantum) should be added to this registry.
                This approach gives peers flexibility in defining the ways they want 
                to combine different key exchange methods. 
                </t>

                <t> When forming a proposal the initiator adds transforms for the IKE_SA_INIT exchange
                using Transform Type 4. In most cases they will contain classical key exchange methods (DH or ECDH), 
                however it is not a requirement. Additional key exchange methods are proposed using Additional Key Exchanges 
                transform types. All these transform types are optional, the initiator is free 
                to select any of them for proposing additional key exchange methods. Consequently, 
                if none of Additional Key Exchange transforms are included in the proposal, then this proposal
                indicates performing standard IKEv2, as defined in <xref target="RFC7296"/>.
                If the initiator includes any transform of type n (where n is among Additional Key Exchanges) in the proposal, 
                the responder MUST select one of the algorithms proposed using this type. A transform ID NONE 
                may be added to those transform types which contain key exchange methods that the initiator believes are optional.
                </t>

                <t> If the initiator includes any Additional Key Exchanges transform types into SA payload,
                it MUST also negotiate using IKE_INTERMEDIATE exchange as described in <xref target="I-D.ietf-ipsecme-ikev2-intermediate" />,
                by including INTERMEDIATE_EXCHANGE_SUPPORTED notification in the IKE_SA_INIT request message.
                If the responder agrees to use additional key exchanges, it MUST also return back this notification,
                thus confirming that IKE_INTERMEDIATE exchange is supported and will be used for transferring additional key exchange data.
                Presence of Additional Key Exchanges transform types in SA payload without negotiation of 
                using IKE_INTERMEDIATE exchange MUST be treated as protocol error by both initiator and responder.
                </t>

                <t> The responder performs negotiation using standard IKEv2 procedure described in Section 3.3 of <xref target="RFC7296"/>.
                However, for the Additional Key Exchange types the responder's choice MUST NOT contain equal transform IDs (apart from NONE), 
                and the ID selected for Transform Type 4 MUST NOT appear in any of Additional Key Exchange transforms.
                In other words, all selected key exchange methods must be different.
                </t>
            </section>
        
        	<section title="IKE_INTERMEDIATE Round: Additional Key Exchanges">
                <t> For each extra key exchange agreed to in the IKE_SA_INIT exchange,
        		the initiator and the responder perform one IKE_INTERMEDIATE exchange, 
                as described in <xref target="I-D.ietf-ipsecme-ikev2-intermediate"/>.</t>
        
                <t>These exchanges are as follows:</t>
    
                <figure><artwork align="center" ><![CDATA[
Initiator                             Responder
---------------------------------------------------------------------
HDR, SK {KEi(n)}     -->
                            <--       HDR, SK {KEr(n)}
                ]]></artwork></figure>

                <t> The initiator sends key exchange data in the KEi(n) payload. 
                This packet is protected with the current SK_ei/SK_ai keys.</t>
        
                <t> On receiving this, the responder sends back key exchange payload KEr(n); 
                again, this packet is protected with the current SK_er/SK_ar keys.</t>

                <t> The former "Diffie-Hellman Group Num" (now called "Key Exchange Method") field in the KEi(n) and KEr(n) payloads MUST match the
                n-th negotiated additional key exchange. Note that the negotiated transform types (the encryption type,
        		integrity type, prf type) are not modified.</t>
        
                <t> Once this exchange is done, then both sides compute an updated keying material:</t>
        
                <figure><artwork align="center" ><![CDATA[
SKEYSEED(n) = prf(SK_d(n-1), KE(n) | Ni | Nr)
                ]]></artwork></figure>

                <t> where KE(n) is the resulting shared secret of this key exchange,
                Ni and Nr are nonces from the IKE_SA_INIT exchange and SK_d(n-1) is the 
                last generated SK_d, (derived from the previous IKE_INTERMEDIATE exchange, 
                or the IKE_SA_INIT if there haven't already been any IKE_INTERMEDIATE exchanges).
                Then, SK_d, SK_ai, SK_ar, SK_ei, SK_er, SK_pi, SK_pr are updated as:</t>
    
                <figure><artwork align="center" ><![CDATA[
{SK_d(n) | SK_ai(n) | SK_ar(n) | SK_ei(n) | SK_er(n) | SK_pi(n) | 
 SK_pr(n)} = prf+ (SKEYSEED(n), Ni | Nr | SPIi | SPIr)
                ]]></artwork></figure>

                <t> Both the initiator and the responder use this updated key
        		values in the next exchange.</t>
            </section>
    
        	<section title="IKE_AUTH Exchange">
                <t> After all IKE_INTERMEDIATE exchanges have completed, the initiator and
        		the responder perform an IKE_AUTH exchange.  This exchange is
        		the standard IKE exchange, except that the initiator and responder
        		signed octets are modified as described in
        		<xref target="I-D.ietf-ipsecme-ikev2-intermediate"/>.</t>
        	</section>
        
            <section title="CREATE_CHILD_SA Exchange">
                <t> The CREATE_CHILD_SA exchange is used in IKEv2 for the purpose 
                of creating additional Child SAs, rekeying them and rekeying IKE SA itself.
                When creating or rekeying Child SAs, the peers may optionally 
                perform a Diffie-Hellmann key exchange to add a fresh entropy into the session keys. 
                In case of IKE SA rekey, the key exchange is mandatory.
                </t>

                <t> If the IKE SA was created using multiple key exchange methods, the peers 
                may want to continue using multiple key exchanges in the CREATE_CHILD_SA exchange too.
                If the initiator includes any Additional Key Exchanges transform in the SA payload
                (along with Transform Type 4) and the responder agrees to perform additional
                key exchanges, then the additional key exchanges are performed in a series 
                of new IKE_FOLLOWUP_KE exchanges that follows the CREATE_CHILD_SA exchange.
                The IKE_FOLLOWUP_KE exchange is introduced as a dedicated exchange type to transfer data of additional key exchanges 
		following the key exchange performed in the CREATE_CHILD_SA. Its Exchange Type is &lt;TBA by IANA&gt;.
                </t>

                <t> These key exchanges are performed in an order of the values of their transform types, so that 
                key exchange negotiated using Transform Type n always precedes key exchange negotiated using
                Transform Type n + 1. Each IKE_FOLLOWUP_KE exchange MUST bear exactly one key exchange method. 
                Key exchange negotiated via Transform Type 4 always takes place
                in the CREATE_CHILD_SA exchange, as per IKEv2 specification. 
                </t>

                <t> Since after IKE SA is created the window size may be greater than one and multiple
                concurrent exchanges may be in progress, it is essential to link the IKE_FOLLOWUP_KE exchanges together and 
                with the corresponding CREATE_CHILD_SA exchange. A new status type notification ADDITIONAL_KEY_EXCHANGE
                is used for this purpose. Its Notify Message Type is &lt;TBA by IANA&gt;, Protocol ID and SPI Size 
                are both set to 0. The data associated with this notification is a blob meaningful 
                only to the responder, so that the responder can correctly link successive
                exchanges. For the initiator the content of this notification is an opaque blob.
                </t>

                <t> The responder MUST include this notification in a CREATE_CHILD_SA or 
                IKE_FOLLOWUP_KE response message in case next exchange is expected, filling it with
                some data that would allow linking this exchange to the next one. The initiator 
                MUST copy the received notification with its content intact into the request 
                message of the next exchange. 
                </t>
        
                <t> Below is an example of three additional key exchanges.
                </t>
        
                <figure><artwork align="center" ><![CDATA[
Initiator                             Responder
---------------------------------------------------------------------
HDR(CREATE_CHILD_SA), SK {SA, Ni, KEi} -->
                          <--  HDR(CREATE_CHILD_SA), SK {SA, Nr, KEr,
                                   N(ADDITIONAL_KEY_EXCHANGE)(link1)}

HDR(IKE_FOLLOWUP_KE), SK {KEi(1),
 N(ADDITIONAL_KEY_EXCHANGE)(link1)} -->
                                 <--  HDR(IKE_FOLLOWUP_KE), SK {KEr(1),
                                   N(ADDITIONAL_KEY_EXCHANGE)(link2)}

HDR(IKE_FOLLOWUP_KE), SK {KEi(2),
 N(ADDITIONAL_KEY_EXCHANGE)(link2)} -->
                                 <--  HDR(IKE_FOLLOWUP_KE), SK {KEr(2),
                                   N(ADDITIONAL_KEY_EXCHANGE)(link3)}

HDR(IKE_FOLLOWUP_KE), SK {KEi(3),
 N(ADDITIONAL_KEY_EXCHANGE)(link3)} -->
                                 <--  HDR(IKE_FOLLOWUP_KE), SK {KEr(3)}
                ]]></artwork></figure>

                <t> The former "Diffie-Hellman Group Num" (now called "Key Exchange Method") field in the KEi(n) and KEr(n) payloads MUST match the
                n-th negotiated additional key exchange.
                </t>

                <t> It is possible that due to some unexpected events (e.g. reboot)
                the initiator could forget that it is in the process of performing
                additional key exchanges and never starts next IKE_FOLLOWUP_KE exchanges.
                The responder MUST handle this situation gracefully and delete
                the associated state if it doesn't receive the next expected 
                IKE_FOLLOWUP_KE request after some reasonable period of time.
                </t>

                <t> If responder receives IKE_FOLLOWUP_KE request containing ADDITIONAL_KEY_EXCHANGE
                notification and the content of this notify doesn't correspond to any active key exchange
                state the responder has, it MUST send back a new error type notification
                STATE_NOT_FOUND. This is a non-fatal error notification, its Notify Message Type is &lt;TBA by IANA&gt;, 
                Protocol ID and SPI Size are both set to 0 and the data is empty. If the initiator receives
                this notification in response to IKE_FOLLOWUP_KE exchange performing additional
                key exchange, it MUST cancel this exchange and MUST treat the whole series 
                of exchanges started from the CREATE_CHILD_SA exchange as failed.
                In most cases, the receipt of this notification is caused by premature deletion
                of the corresponding state on the responder (the time period between
                IKE_FOLLOWUP_KE exchanges appeared too long from responder's point of view, e.g.
                due to a temporary network failure). After receiving this notification the initiator MAY 
                start a new CREATE_CHILD_SA exchange (eventually followed by the IKE_FOLLOWUP_KE exchanges)
                to retry the failed attempt. If the initiator continues to receive
                STATE_NOT_FOUND notifications after several retries, it MUST treat this situation 
                as fatal error and delete IKE SA by sending a DELETE payload.
                </t>

                <t> When rekeying IKE SA or Child SA, it is possible that the peers start doing this
                at the same time, which is called simultaneous rekeying. Sections 2.8.1 and 2.8.2 of 
                <xref target="RFC7296" /> describes how IKEv2 handles this situation. In a nutshell
                IKEv2 follows the rule that if in case of simultaneous rekeying two identical new
                IKE SAs (or two pairs of Child SAs) are created, then one of them should be deleted. 
                Which one is to be deleted is determined by comparing the values of four nonces, 
                that were used in the colliding CREATE_CHILD_SA exchanges - the IKE SA (or pair of Child SAs) 
                that was created by the exchange in which the smallest nonce was used should be deleted by 
                the initiator of this exchange.
                </t>

                <t> With multiple key exchanges the SAs are not yet created when the CRETE_CHILD_SA is completed,
                they would be created only after the series of IKE_FOLLOWUP_KE exchanges is finished.
                For this reason if additional key exchanges were negotiated in the CREATE_CHILD_SA initiated by the losing side, 
                there is nothing to delete and this side just stops the rekeying process - this side MUST not initiate 
                IKE_FOLLOWUP_KE exchange with next key exchange.
                </t>

                <t> In most cases, rekey collisions are resolved in the CREATE_CHILD_SA exchange.
                However, a situation may occur when due to packet loss, one of the peers receives CREATE_CHILD_SA message
                requesting rekeying SA that is already being rekeyed by this peer (i.e. the CREATE_CHILD_SA
                exchange initiated by this peer has been already completed and the series of IKE_FOLLOWUP_KE exchanges is in progress).
                In this case, a TEMPORARY_FAILURE notification MUST be sent in response to such request.
                </t>

                <t> If multiple key exchanges were negotiated in the CREATE_CHILD_SA exchange, then the resulting keys are 
                computed as follows. In case of IKE SA rekey:
                </t>

                <figure><artwork align="center" ><![CDATA[
SKEYSEED = prf(SK_d, KE  | Ni | Nr | KE(1) | ... KE(n))
                ]]></artwork></figure>

                <t> In case of Child SA creation or rekey:
                </t>

                <figure><artwork align="center" ><![CDATA[
KEYMAT = prf+ (SK_d, KE  | Ni | Nr | KE(1) |  ... KE(n))
                ]]></artwork></figure>

                <t> In both cases SK_d is from existing IKE SA; KE, Ni, Nr are the shared key and nonces
                from the CREATE_CHILD_SA respectively; KE(1)...KE(n) are the shared keys from additional key exchanges.
                </t>

            </section>
        </section>
    </section>

    <section title="IANA Considerations" anchor="IANA">

        <t>This document adds new exchange type into the "IKEv2 Exchange Types" registry:</t>

<figure align="center"><artwork align="left"><![CDATA[
<TBA>       IKE_FOLLOWUP_KE
]]></artwork></figure>

        <t>This document renames Transform Type 4 defined in "Transform Type Values" registry
        from "Diffie-Hellman Group (D-H)" to "Key Exchange Method (KE)".</t>

        <t>This document renames IKEv2 registry "Transform Type 4 - Diffie-Hellman Group Transform IDs" to 
        "Transform Type 4 - Key Exchange Method Transform IDs"</t>

        <t>This document adds the following Transform Types to the "Transform Type Values" registry:</t>
        <figure align="left"><artwork align="left"><![CDATA[
Type     Description                   Used In                    
-----------------------------------------------------------------
<TBA>    Additional Key Exchange 1     (optional in IKE, AH, ESP)
<TBA>    Additional Key Exchange 2     (optional in IKE, AH, ESP)
<TBA>    Additional Key Exchange 3     (optional in IKE, AH, ESP)
<TBA>    Additional Key Exchange 4     (optional in IKE, AH, ESP)
<TBA>    Additional Key Exchange 5     (optional in IKE, AH, ESP)
<TBA>    Additional Key Exchange 6     (optional in IKE, AH, ESP)
<TBA>    Additional Key Exchange 7     (optional in IKE, AH, ESP)
        ]]></artwork></figure>

        <t>This document defines a new Notify Message Type in the "Notify Message Types - Status Types" registry:</t>

        <figure align="center"><artwork align="left"><![CDATA[
<TBA>       ADDITIONAL_KEY_EXCHANGE
        ]]></artwork></figure>

        <t>and a new Notify Message Type in the "Notify Message Types - Error Types" registry:</t>

        <figure align="center"><artwork align="left"><![CDATA[
<TBA>       STATE_NOT_FOUND
        ]]></artwork></figure>
    </section>

	<section title="Security Considerations" anchor="security">
        <t>
    	The key length of the Encryption Algorithm (Transform Type 1), the
    	Pseudorandom Function (Transform Type 2) and the Integrity Algorithm
    	(Transform Type 3), all have to be of sufficient length to prevent
    	attacks using Grover's algorithm <xref target="GROVER"/>.  In order to use the
    	extension proposed in this document, the key lengths of these
    	transforms SHALL be at least 256 bits long in order to provide
    	sufficient resistance to  quantum attacks.  Accordingly the
    	post-quantum security level achieved is at least 128 bits.</t>
    
    	<t>SKEYSEED is calculated from shared KE(x) using an algorithm defined
    	in Transform Type 2.  While a quantum attacker may learn the value
    	of KE(x), if this value is obtained by means of a classical key exchange,
    	other KE(x) values generated by means of a quantum-resistant algorithm
    	ensure that the final SKEYSEED is not compromised.  This assumes that
    	the algorithm defined in the Transform Type 2 is post-quantum.
    	</t>
    
        <t>
    	The main focus of this document is to prevent a passive attacker
    	performing a "harvest and decrypt" attack.  In other words, an attacker
    	that records messages exchanges today and proceeds to decrypt them once
    	he owns a quantum computer.  This attack is prevented due to the hybrid
    	nature of the key exchange.  Other attacks involving an active attacker
    	using a quantum-computer are not completely solved by this
    	document.  This is for two reasons.</t>
    
        <t>
        The first reason is because the authentication step remains
        classical.  In particular, the authenticity of the SAs established
        under IKEv2 is protected using a pre-shared key, RSA, DSA, or ECDSA
        algorithms.  Whilst the pre-shared key option, provided the key is
        long enough, is post-quantum, the other algorithms are not.   Moreover,
        in implementations where scalability is a requirement, the pre-shared
        key method may not be suitable.  Quantum-safe authenticity may be
        provided by using a quantum-safe digital signature and several
        quantum-safe digital signature methods are being explored by
        IETF.  For example, if the implementation is able to reliably
        track state, the hash based method, XMSS has the status of an RFC,
        see <xref target="RFC8391"/>.  Currently, quantum-safe authentication
        methods are not specified in this document, but are planned to be
        incorporated in due course.
    	</t>
    
    	<t>It should be noted that the purpose of post-quantum algorithms is
        to provide resistance to attacks mounted in the future.  The current
        threat is that encrypted sessions are subject to eavesdropping and
        archived with decryption by quantum computers taking place at some
        point in the future.  Until quantum computers become available there
        is no point in attacking the authenticity of a connection because
        there are no possibilities for exploitation.  These only occur at
        the time of the connection, for example by mounting a man-in-the-middle (MitM)
        attack.  Consequently there is not such a pressing need for
        quantum-safe authenticity.</t>
    
    	<t>This draft does not attempt to address key exchanges with KE payloads
        longer than 64k; the current IKE payload format does not allow that as
        a possibility.  If such huge KE payloads are required, a work around
        (such as making the KE payload a URL and a hash of the real payload)
        would be needed.  At the current time, it appears likely that there
        will be plenty of key exchanges available that would not require such
        a workaround.</t>
	</section>

    <section title="Acknowledgements" anchor="acknowledgements">
        <t> The authors would like to thanks Frederic Detienne and Olivier
        Pelerin for their comments and suggestions, including the idea to
        negotiate the post-quantum algorithms using the existing KE payload.
        The authors are also grateful to Tobias Heider and Tobias Guggemos for valuable comments.</t>
    </section>

	</middle>

	<back>
        <references title='Normative References'>
    	&RFC2119;
    	&RFC8174;
    	&RFC7296;
	    &I-D.ietf-ipsecme-ikev2-intermediate;
	</references>
    <references title='Informative References'>
        &RFC4302;
        &RFC4303;
        &RFC7383;
    	&RFC8229;
        <reference anchor="GROVER"><front>
            <title>A Fast Quantum Mechanical Algorithm for Database Search</title>
            <author fullname="L. Grover" initials="L." surname="Grover">
            </author>
            <date year="1996"/>
            </front>
            <seriesInfo name="Proc." value="of the Twenty-Eighth Annual ACM Symposium on the Theory of Computing (STOC 1996)"/>
        </reference>
	    &I-D.ietf-ipsecme-qr-ikev2;
    	&RFC8391;
    </references>

    <section title="Alternative Design" anchor="altdesign">
        <t>
        This section gives an overview on a number of alternative approaches
        that we have considered, but later discarded.  These approaches are:</t>

        <t><list style="symbols">
        <t>Sending the classical and post-quantum key
        exchanges as a single transform<vspace blankLines="1"/>
        We considered combining the various key exchanges into a single large
        KE payload; this effort is documented in a previous version of this
        draft (draft-tjhai-ipsecme-hybrid-qske-ikev2-01).  This does allow us
        to cleanly apply hybrid key exchanges during the child SA; however it
        does add considerable complexity, and requires an independent
        fragmentation solution.
        </t>

        <t>Sending post-quantum proposals and policies in KE payload
        only<vspace blankLines="1"/>
        With the objective of not introducing unnecessary notify
        payloads, we considered communicating the hybrid post-quantum proposal
        in the KE payload during the first pass of the protocol
        exchange.   Unfortunately, this design is susceptible to the following
        downgrade attack.  Consider the scenario where there is an MitM attacker
        sitting between an initiator and a responder.  The initiator proposes,
        through SAi payload, to use a hybrid post-quantum group and as a backup
        a Diffie-Hellman group, and through KEi payload, the initiator proposes
        a list of hybrid post-quantum proposals and policies.  The MitM attacker
        intercepts this traffic and replies with N(INVALID_KE_PAYLOAD) suggesting
        to downgrade to the backup Diffie-Hellman group instead.  The initiator
        then resends the same SAi payload and the KEi payload containing the
        public value of the backup Diffie-Hellman group.  Note that the attacker
        may forward the second IKE_SA_INIT message only to the responder, and
        therefore at this point in time, the responder will not have the
        information that the initiator prefers the hybrid group.  Of course,
        it is possible for the responder to have a policy to reject an
        IKE_SA_INIT message that (a) offers a hybrid group but not offering
        the corresponding public value in the KEi payload; and (b) the
        responder has not specifically acknowledged that it does not
        supported the requested hybrid group.  However, the checking of this
        policy introduces unnecessary protocol complexity.  Therefore, in
        order to fully prevent any downgrade attacks, using KE payload alone
        is not sufficient and that the initiator MUST always indicate its
        preferred post-quantum proposals and policies in a notify payload
        in the subsequent IKE_SA_INIT messages following a
        N(INVALID_KE_PAYLOAD) response.</t>

        <t>New payload types to negotiate hybrid proposal and to carry post-
        quantum public values<vspace blankLines="1"/>
        Semantically, it makes sense to use a new payload type, which
        mimics the SA payload, to carry a hybrid proposal.  Likewise, another new
        payload type that mimics the KE payload, could be used to transport hybrid
        public value.  Although, in theory a new payload type could be made
        backwards compatible by not setting its critical flag as per Section 2.5
        of RFC7296, we believe that it may not be that simple in practice.  Since
        the original release of IKEv2 in RFC4306, no new payload type has ever
        been proposed and therefore, this creates a potential risk of having a
        backward compatibility issue from non-conforming RFC IKEv2
        implementations.  Since we could not see any other compelling advantages
        apart from a semantic one, we use the existing transform type and
        notify payloads instead.  In fact, as described above, we use the KE
        payload in the first IKE_SA_INIT request round and the notify payload
        to carry the post-quantum proposals and policies. We use one or more
        of the existing KE payloads to carry the hybrid public values.
        </t>

        <t>Hybrid public value payload<vspace blankLines="1"/>
        One way to transport the negotiated hybrid public payload, which contains
        one classical Diffie-Hellman public value and one or more post-quantum
        public values, is to bundle these into a single KE payload.  Alternatively,
        these could also be transported in a single new hybrid public value
        payload, but following the same reasoning as above, this may not be
        a good idea from a backward compatibility perspective.  Using a single
        KE payload would require an encoding or formatting to be defined so
        that both peers are able to compose and extract the individual public
        values.  However, we believe that it is cleaner to send the hybrid
        public values in multiple KE payloads--one for each group or
        algorithm.  Furthermore, at this point in the protocol exchange, both
        peers should have indicated support of handling multiple KE payloads.
        </t>

        <t>Fragmentation<vspace blankLines="1"/>
        Handling of large IKE_SA_INIT messages has been one of the most
        challenging tasks.  A number of approaches have been considered
        and the two prominent ones that we have discarded are outlined as
        follows.
        <vspace blankLines="1"/>
        The first approach was to treat the entire IKE_SA_INIT message as
        a stream of bytes, which we then split it into a number of
        fragments, each of which is wrapped onto a payload that would fit
        into the size of the network MTU.  The payload that wraps each
        fragment is a new payload type and it was envisaged that this new
        payload type will not cause a backward compatibility issue because
        at this stage of the protocol, both peers should have indicated
        support of fragmentation in the first pass of the IKE_SA_INIT
        exchange.  The negotiation of fragmentation is performed using  a
        notify payload, which also defines supporting parameters such as
        the size of fragment in octets and the fragment identifier.  The
        new payload that wraps each fragment of the messages in this
        exchange is assigned the same fragment identifier. Furthermore, it
        also has other parameters such as a fragment index and total
        number of fragments.  We decided to discard this approach due to
        its blanket approach to fragmentation.  In cases where only a few
        payloads need to be fragmented, we felt that this approach is
        overly complicated.
        <vspace blankLines="1"/>
        Another idea that was discarded was fragmenting an individual
        payload without introducing a new payload type.  The idea was to
        use the 9-th bit (the bit after the critical flag in the RESERVED
        field) in the generic payload header as a flag to mark that this
        payload is fragmented.  As an example, if a KE payload is to be
        fragmented, it may look as follows.
        </t>

        </list>
        </t>

        <figure><artwork align="center" ><![CDATA[
                 1                   2                   3
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
| Next Payload  |C|F| RESERVED  |         Payload Length        |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|  Diffie-Hellman Group Number  |     Fragment Identifier       |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|         Fragment Index        |        Total Fragments        |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|                  Total KE Payload Data Length                 |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|                                                               |
~                       Fragmented KE Payload                   ~
|                                                               |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ]]></artwork></figure>

        <t><list hangIndent="3" style="hanging"><t>
        When the flag F is set, this means the current KE payload is a
        fragment of a larger KE payload.  The Payload Length field denotes
        the size of this payload fragment in octets--including the size of
        the generic payload header.  The two-octet RESERVED field
        following Diffie-Hellman Group Number was to be used as a fragment
        identifier to help assembly and disassembly of fragments.  The
        Fragment Index and Total Fragments fields are self-explanatory.
        The Total KE Payload Data Length indicates the size of the
        assembled KE payload data in octets.  Finally, the actual fragment
        is carried in Fragment KE Payload field.</t>

        </list>
        </t>

        <t><list hangIndent="3" style="hanging"><t>
        We discarded this approach because we believe that the working
        group may not be happy using the RESERVED field to change the
        format of a packet and that implementers may not like the
        complexity added from checking the fragmentation flag in each
        received payload.  More importantly, fragmenting the messages
        in this way may leave the system to be more prone to denial of
        service (DoS) attacks.  By using IKE_INTERMEDIATE to transport the large
        post-quantum key exchange payloads, there is no longer any issue
        with fragmentation.</t>
        </list>
        </t>

        <t><list style="symbols"><t>Group sub-identifier<vspace blankLines="1"/>
        As discussed before, each group identifier
        is used to
        distinguish a post-quantum algorithm.  Further classification
        could be made on a particular post-quantum algorithm by assigning
        additional value alongside the group identifier.  This sub-
        identifier value may be used to assign different security
        parameter sets to a given post-quantum algorithm.  However, this
        level of details does not fit the principles of the document where
        it should deal with generic hybrid key exchange protocol, not a
        specific ciphersuite.  Furthermore, there are enough Diffie-
        Hellman group identifiers should this be required in the future.
        </t>

        </list>
        </t>

    </section>

    </back>

	</rfc>
