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1篇 您的检索式:作者名="TAN ChikHow"
    题名 作者 年代 出处 被引量
1A new family of differentially 4-uniform permutations over F_(2^(2k))for odd k显示文摘We study the differential uniformity of a class of permutations over F2 n with n even. These permutations are different from the inverse function as the values x^(-1) are modified to be(γx)^(-1) on some cosets of a fixed subgroup γ of F_(2n)~*. We obtain some sufficient conditions for this kind of permutations to be differentially 4-uniform, which enable us to construct a new family of differentially 4-uniform permutations that contains many new Carlet-Charpin-Zinoviev equivalent(CCZ-equivalent) classes as checked by Magma for small numbers n. Moreover, all of the newly constructed functions are proved to possess optimal algebraic degree and relatively high nonlinearity.PENG Jie TAN ChikHow WANG QiChun 2016Science China Mathematics2016,59,6:3
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