On equations of finite fields of characteristic 2 and APN functions

DOI10.1016/J.AKCEJ.2015.11.001zbMath1409.11136OpenAlexW2224272295MaRDI QIDQ321981

Nobuo Nakagawa

Publication date: 14 October 2016

Published in: AKCE International Journal of Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.akcej.2015.11.001

zbMATH Keywords

finite fieldspermutation groupsAPN functions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Finite fields (field-theoretic aspects) (12E20)

Related Items (1)

New Perfect Nonlinear Multinomials over F $_{p^{2k}}$ for Any Odd Prime p

Cites Work

• Unnamed Item
• Isomorphisms and automorphisms of extensions of bilinear dimensional dual hyperovals and quadratic APN functions
• On the arithmetic Walsh coefficients of Boolean functions
• New dimensional dual hyperovals, which are not quotients of the classical dual hyperovals
• Dimensional dual hyperovals associated with quadratic APN functions
• Constructing new APN functions from known ones
• Alternating bilinear forms over GF(q)
• Codes, bent functions and permutations suitable for DES-like cryptosystems
• Dimensional dual hyperovals and APN functions with translation groups
• On quadratic APN functions and dimensional dual hyperovals
• A Construction of Differentially 4-Uniform Functions from Commutative Semifields of Characteristic 2
• On the solution of algebraic equations over finite fields

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