Further results on differentially 4-uniform permutations over F22m
نویسندگان
چکیده
In this paper, we present several new constructions of differentially 4-uniform permutations over F22m by modifying the values of the inverse function on some subsets of F22m . The resulted differentially 4-uniform permutations have high nonlinearities and algebraic degrees, which provide more choices for the design of crytographic substitution boxes.
منابع مشابه
Constructing differentially 4-uniform permutations over GF(22m ) from quadratic APN permutations over GF(22m+1)
In this paper, by means of the idea proposed in [8], differentially 4-uniform permutations with the best known nonlinearity over F22m can be constructed by using quadratic APN permutations over F22m+1 . Special emphasis is given for the Gold functions. The algebraic degree of the constructions and their compositional inverse is also investigated. One of the constructions and its compositional i...
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ورودعنوان ژورنال:
- CoRR
دوره abs/1502.03874 شماره
صفحات -
تاریخ انتشار 2015