On a class of \(m\)-to-1 functions

DOI10.1016/j.dam.2024.04.028zbMATH Open1545.11102MaRDI QIDQ6546423

Zhiguo Ding, Michael E. Zieve

Publication date: 29 May 2024

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

rational functionstwo-to-one functions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Polynomials over finite fields (11T06)

Cites Work

• Further results on planar DO functions and commutative semifields
• When does \(G(x)+\gamma \, \text{Tr}(H(x))\) permute \(\mathbb F_{p^n}\)?
• On Dillon's class \(H\) of bent functions, Niho bent functions and o-polynomials
• Almost perfect and planar functions
• Difference sets and hyperovals
• On APN functions \(L_1(x^3) + L_2(x^9)\) with linear \(L_1\) and \(L_2\)
• Two-to-one functions from Galois extensions
• Two-to-one mappings and involutions without fixed points over \(\mathbb{F}_{2^n}\)
• Paley type group schemes and planar Dembowski-Ostrom polynomials
• Constructing permutations of finite fields via linear translators
• Perfect nonlinear functions and cryptography
• Further Study of 2-to-1 Mappings Over F_2ⁿ
• Binary Linear Codes With Few Weights From Two-to-One Functions
• Low-degree permutation rational functions over finite fields
• On Two-to-One Mappings Over Finite Fields

Related Items (1)

Two classes of exceptional \(m\)-to-1 rational functions

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