On permutation polynomials of the formx1+2k+ L(x)

DOI10.1080/00207160.2015.1072171zbMath1358.11129OpenAlexW2296696028MaRDI QIDQ2957752

Xin Gong, Wenfen Liu, Guangpu Gao

Publication date: 27 January 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1072171

zbMATH Keywords

finite fieldlinearized polynomialpermutation polynomialtrace functionbent function

Mathematics Subject Classification ID

Cryptography (94A60) Polynomials over finite fields (11T06)

Related Items (3)

Two new classes of permutation trinomials over \(\mathbb{F}_{q^3}\) with odd characteristic ⋮ Two classes of permutation trinomials over \(\mathbb{F}_{q^3}\) in characteristic two ⋮ New classes of permutation trinomials over \(\mathbb{F}_{q^3}\)

Cites Work

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• Permutation polynomials of the form \(L(x) + S_{2k}^a + S_{2k}^b\) over \(\mathbb{F}_{q^{3k}}\)
• A family of skew Hadamard difference sets
• Permutation polynomials and applications to coding theory
• Constructing symmetric ciphers using the CAST design procedure
• Some results concerning cryptographically significant mappings over \(\text{GF}(2^{n})\)
• On EA-equivalence of certain permutations to power mappings
• Construction of bent functions via Niho power functions
• Results on Constructions of Rotation Symmetric Bent and Semi-bent Functions
• Permutation Trinomials Over Finite Fields with Even Characteristic
• On Cryptographically Significant Mappings over GF(2 n )
• Optimal Ternary Cyclic Codes From Monomials

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