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A New Class of Differentially 4-uniform Permutations from the Inverse Function
Differentially 4-uniform permutation Substitute box 4-Uniform BFI
2016/12/8
Differentially 4-uniform permutations on F22kF22k with high nonlinearity and algebraic degree are often used in block ciphers and some stream ciphers as Substitution boxes. Recently,Chen et al.(An equ...
An Equivalent Condition on the Switching Construction of Differentially 4-uniform Permutations on $\gf_{2^{2k}}$ from the Inverse Function
Differentially 4-uniform function Substitution box 4-Uniform BFI
2016/1/7
Differentially 4-uniform permutations on \gf22k with high nonlinearity are often chosen as Substitution boxes in block ciphers. Recently, Qu et al. used the powerful switching method to construct such...
Constructing Differentially 4-uniform Permutations over GF(2^{2k}) from the Inverse Function Revisited
secret-key cryptography
2014/3/6
Constructing S-boxes with low differential uniformity and high nonlinearity is of cardinal significance in cryptography. In the present paper, we show that numerous differentially 4-uniform permutatio...
Differentially 4-Uniform Bijections by Permuting the Inverse Function
substitution box differentially 4-uniform bijection
2014/3/7
Block ciphers use Substitution boxes (S-boxes) to create confusion into the cryptosystems. Functions used as S-boxes should have low differential uniformity, high nonlinearity and algebraic degree lar...
On permutation polynomials EA-equivalent to the inverse function over GF(2^n)
Inverse function EA-equivalence Permutation polynomial S-box Kloosterman sums
2010/11/16
It is proved that there does not exist a linearized polynomial L(x) 2 F2n[x] such that x−1+L(x) is a permutation on F2n when n≥ 5, which is proposed as a conjecture in [15]. As a consequence, a ...