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Extra resources for Selected Areas in Cryptography: 18th International Workshop, SAC 2011, Toronto, ON, Canada, August 11-12, 2011, Revised Selected Papers

Sample text

LNCS, vol. 4047, pp. 89–110. Springer, Heidelberg (2006) 32. : HAVAL — One-Way Hashing Algorithm with Variable Length of Output. , Seberry, J. ) AUSCRYPT 1992. LNCS, vol. 718, pp. 83–104. Springer, Heidelberg (1993) A Differential Path Search Algorithm for 5-Pass HAVAL Our path search algorithm is semi-automated and minimizes the Hamming distance of the entire inside path. We independently searched for the path for E1 (steps 60 – 79) with Δm2 = 0x80000000 and path for E2 (steps 98 – 73) with ∇m4 = 0x80000000.

LNCS, vol. 718, pp. 83–104. Springer, Heidelberg (1993) A Differential Path Search Algorithm for 5-Pass HAVAL Our path search algorithm is semi-automated and minimizes the Hamming distance of the entire inside path. We independently searched for the path for E1 (steps 60 – 79) with Δm2 = 0x80000000 and path for E2 (steps 98 – 73) with ∇m4 = 0x80000000. Conditions and contradiction of two paths were later checked by hand. We only explain the algorithm for E1 in Alg. 5. HW (·) returns the Hamming weight of the input variable.

Let A be a chosen-target-forced-midfix (CTFM) finding adversary for this hash function. The advantage of A is defined as f p Advctfm H (A) = Pr f ← Func(n+m,n), (y, st) ← A , P ← {0, 1} , $ $ (g, R) ← Af (P, st) : Hf (g(P, R)) = y ∧ rng(g) ≤ 2Lm . By Advctfm H (q) we denote the maximum advantage, taken over all adversaries making q queries to their oracle. The function g can technically be any function as long as its range is at most 2Lm , but for some choices of g the definition becomes irrelevant.

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