Differential cryptanalysis is a general form of cryptanalysis applicable primarily to block and
stream ciphers and cryptographic hash functions. The discovery of differential cryptanalysis …

The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

In Hadamard Matrices and Their Applications, KJ Horadam provides the first unified account
of cocyclic Hadamard matrices and their applications in signal and data processing. This …

This chapter deals with multi-output Boolean functions viewed from a cryptographic
viewpoint, that is, functions from the vector space Fn2, of all binary vectors of length n, to the …

This is the unique book on cross-fertilisations between stream ciphers and number theory. It
systematically and comprehensively covers known connections between the two areas that …

Permutation polynomials over finite fields — A survey of recent advances - ScienceDirect Skip
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We summarize the state of the classification of almost perfect nonlinear (APN) power
functions x/sup d/on GF (2/sup n/) and contribute two new cases. To prove these cases we …

Almost perfect nonlinear (APN) map**s are of interest for applications in cryptography We
prove for odd n and the exponent d= 22r+ 2r− 1, where 4r+ 1≡ 0modn, that the power …

Functions with high nonlinearity have important applications in cryptography, sequences
and coding theory. The purpose of this paper is to give a well-rounded treatment of non …

In this paper we define a new (output) multiplicative differential, and the corresponding c-
differential uniformity. With this new concept, even for characteristic 2, there are perfect c …