A compact Guide to Lex&Yacc by Neimann T.

By Neimann T.

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Using Lagrange’s interpolation. To recover key bits one expresses the ciphertext before the last round as a polynomial of the plaintext. Subsequently, for every value of (parts of) the last-round key one decrypts all ciphertexts one round and uses these values in the Lagrange interpolation. If a few extra plaintexts and ciphertexts fit into this polynomial, the correct value of the key is found with a high probability. The attack can be repeated until only one value of the last-round key is suggested.

Theorem 5 ([62]). Consider an r-round iterated DES-like cipher with independent round keys. Any s-round differential, s ≥ 4, has a probability of at most 2p2max . In the following section it is shown that the round function in an iterated cipher can be chosen in such a way that the probability of any non-trivial oneround differential, pmax , is small. 4 Resistance Against Linear Attacks As in differential cryptanalysis it is possible to get a lower bound on all linear approximations of an iterated cipher expressed in terms of the most likely oneround approximation.

Helleseth, editor, Advances in Cryptology: EUROCRYPT’93, LNCS 765, pages 55–64. Springer Verlag, 1993. 59. K. Nyberg. On the construction of highly nonlinear permutations. In R. Rueppel, editor, Advances in Cryptology: EUROCRYPT’92, LNCS 658. Springer Verlag, 1993. 60. K. Nyberg. Linear approximations of block ciphers. In A.

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