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// SPDX-FileCopyrightText: © 2019-2022 Nadim Kobeissi <nadim@symbolic.software>
// SPDX-License-Identifier: GPL-3.0-only
// (included in our artifact as a reference model)
attacker[active]
principal Alice[
knows private alongterm
galongterm = G^alongterm
]
principal Bob[
knows private blongterm, bs
generates bo
gblongterm = G^blongterm
gbs = G^bs
gbo = G^bo
gbssig = SIGN(blongterm, gbs)
]
Bob -> Alice: [gblongterm], gbssig, gbs, gbo
principal Alice[
generates ae1
gae1 = G^ae1
amaster = HASH(gbs^alongterm, gblongterm^ae1, gbs^ae1, gbo^ae1)
arkba1, ackba1 = HKDF(amaster, nil, nil)
]
principal Alice[
generates m1, ae2
gae2 = G^ae2
_ = SIGNVERIF(gblongterm, gbs, gbssig)?
akshared1 = gbs^ae2
arkab1, ackab1 = HKDF(akshared1, arkba1, nil)
akenc1, _ = HKDF(MAC(ackab1, nil), nil, nil)
e1 = AEAD_ENC(akenc1, m1, HASH(galongterm, gblongterm, gae2))
]
Alice -> Bob: [galongterm], gae1, gae2, e1
principal Bob[
bmaster = HASH(galongterm^bs, gae1^blongterm, gae1^bs, gae1^bo)
brkba1, bckba1 = HKDF(bmaster, nil, nil)
]
principal Bob[
bkshared1 = gae2^bs
brkab1, bckab1 = HKDF(bkshared1, brkba1, nil)
bkenc1, bkenc2 = HKDF(MAC(bckab1, nil), nil, nil)
m1_d = AEAD_DEC(bkenc1, e1, HASH(galongterm, gblongterm, gae2))
]
principal Bob[
generates m2, be
gbe = G^be
bkshared2 = gae2^be
brkba2, bckba2 = HKDF(bkshared2, brkab1, nil)
bkenc3, bkenc4 = HKDF(MAC(bckba2, nil), nil, nil)
e2 = AEAD_ENC(bkenc3, m2, HASH(gblongterm, galongterm, gbe))
]
Bob -> Alice: gbe, e2
principal Alice[
akshared2 = gbe^ae2
arkba2, ackba2 = HKDF(akshared2, arkab1, nil)
akenc3, akenc4 = HKDF(MAC(ackba2, nil), nil, nil)
m2_d = AEAD_DEC(akenc3, e2, HASH(gblongterm, galongterm, gbe))
]
// principal Alice[
// generates m3, ae3
// gae3 = G^ae3
// akshared3 = gbe^ae3
// arkab3, ackab3 = HKDF(akshared3, arkba2, nil)
// akenc5, akenc6 = HKDF(MAC(ackab3, nil), nil, nil)
// e3 = AEAD_ENC(akenc5, m3, HASH(gblongterm, galongterm, gae3))
// ]
// Alice -> Bob: gae3, e3
// principal Bob[
// bkshared3 = gae3^be
// brkab3, bckab3 = HKDF(bkshared3, brkba2, nil)
// bkenc5, bkenc6 = HKDF(MAC(bckab3, nil), nil, nil)
// m3_d = AEAD_DEC(bkenc5, e3, HASH(gblongterm, galongterm, gae3))
// ]
phase[1]
principal Alice[leaks alongterm]
principal Bob[leaks blongterm]
queries[
confidentiality? m1
authentication? Alice -> Bob: e1
confidentiality? m2
authentication? Bob -> Alice: e2
// confidentiality? m3
// authentication? Alice -> Bob: e3
]