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Constructing Infinite Families of Low Differential Uniformity $(n,m)$-Functions with $m>n/2$
APN function Differential Uniformity Nyberg's bound
2018/11/2
Little theoretical work has been done on (n,m)(n,m)-functions when n2nn2en though these functions can be used in Feistel ciphers, and actually play an important role in several block cipher...
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...
A New Method to Investigate the CCZ-Equivalence between Functions with Low Differential Uniformity
Differentially 44-uniform function Projected differential spectrum Substitution boxes
2016/12/12
Recently, many new classes of differentially 44-uniform permutations have been constructed. However, it is difficult to decide whether they are CCZ-inequivalent or not. In this paper, we propose a new...