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Abstract

Recently, we showed how to strengthen block ciphers by decorrelation techniques. In particular, we proposed two practical block ciphers, one based on the GF(2n)-arithmetics, the other based on the x mod p mod 2n primitive with a prime p=2n(1+d). We show how to achieve similar decorrelation with a prime p=2n(1-d). For this we have to change the choice of the norm in the decorrelation theory and replace the L8 norm by the L2 norm. We propose a new practical block cipher which is provably resistant against differential and linear cryptanalysis

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