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Characterizations of the differential uniformity of vectorial functions by the Walsh transform
secret-key cryptography known APN functions
2017/6/6
For every positive integers nn, mm and every even positive integer δδ, we derive inequalities satisfied by the Walsh transforms of all vectorial (n,m)(n,m)-functions and prove that the case of equalit...
Arithmetic Walsh Transform of Boolean Functions with Linear Structures
Boolean functions arithmetic Walsh transform Walsh-Hadamard transform
2015/12/24
Arithmetic Walsh transform(AWT) of Boolean function caught our attention due to their arithmetic analogs of Walsh-Hadamard transform(WHT) recently. We present new results on AWT in this paper. Firstly...