Some Binomial and Trinomial Differentially 4-Uniform Permutation Polynomials
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Publication:2947804
DOI10.1142/S0129054115500276zbMath1366.11115OpenAlexW2266493116MaRDI QIDQ2947804
Xiangyong Zeng, Yuan Chen, Xishun Zhu
Publication date: 29 September 2015
Published in: International Journal of Foundations of Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129054115500276
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Polynomials over finite fields (11T06)
Related Items (6)
Several classes of permutation trinomials from Niho exponents ⋮ On two conjectures about permutation trinomials over \(\mathbb{F}_{3^{2k}}\) ⋮ New differentially 4-uniform permutations from modifications of the inverse function ⋮ On CCZ-equivalence between the Bracken-Tan-Tan function and power functions ⋮ 4-uniform permutations with null nonlinearity ⋮ Constructing differentially 4-uniform involutions over \(\mathbb{F}_{2^{2k}}\) by using Carlitz form
Cites Work
- Binomial differentially 4 uniform permutations with high nonlinearity
- A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree
- One-to-one highly nonlinear power functions on \(\mathrm{GF}(2^n)\)
- Constructing differentially 4-uniform permutations over \(\mathrm{GF}(2^{2m})\) from quadratic APN permutations over \(\mathrm{GF}(2^{2m+1})\)
- Constructing new differentially 4-uniform permutations from the inverse function
- Almost perfect nonlinear power functions on GF(2/sup n/): the Welch case
- The weight enumerators for several classes of subcodes of the 2nd order binary Reed-Muller codes
- Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)
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