The Permutation AE Mode SpongeWrap Sample Clauses

The Permutation AE Mode SpongeWrap. We adopt the AE mode proposed in the paper that introduced the duplex con- struction and its modes [7], namely SpongeWrap. SpongeWrap has the nice prop- erty that it supports AE in sessions. A session AE scheme converts sequences of messages, each consisting of (optional) associated data AD and plaintext P , both bit strings of arbitrary length, into a sequences of cryptograms, each consisting of possible associated data, ciphertext C (the enciphered plaintext) and a tag T . The session aspect is related to the tag T : this is not only computed on the associated data and ciphertext of its own cryptogram, but the full sequence of cryptograms that were generated since the start of the session. In other words, a session AE scheme is stateful. One can see session AE as support for intermediate tags. Algorithm 1. SpongeWrap[ƒ, ρ, τ ], with permutation ƒ , block length ρ and tag length τ . Interface: T start(K, D) s 0∗ (State s is a persistent data element during the session) absorb(K, none) absorb(D, encrypt) T squeeze(τ ) return T Interface: (C, T ) wrap(AD,P ) absorb(AD, none) C absorb(P, encrypt) T squeeze(τ ) return (C, T ) Interface: P unwrap(AD, C,T ) absorb(AD, none) P absorb(C, decrypt) T' squeeze(τ ) if (T' = T ) then return error Internal interface: У absorb(X, op) with op none, encrypt, decrypt Let x[n] be X split in ρ-bit blocks, with n c 0 and last block possibly shorter for all blocks of x[n] do if (op = none) then b 0 else b 1 if (this is the last block) then b b + 1 if op = decrypt then temp ← x[i] + (s truncated to |x[i]|) У ← У temp duplex(temp b) else if op encrypt then = temp ← x[i] + (s truncated to |x[i]|) У ← У temp duplex(x[i] b) duplex(x[i] b)
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