Bent and hyper-bent functions over a field of \(2^{\ell}\) elements

DOI10.1134/S003294600801002XzbMath1235.94049MaRDI QIDQ950708

A. B. Shishkov, V. A. Shishkin, Alexander A. Nechaev, Aleksey Kuzmin, Viktor T. Markov

Publication date: 27 October 2008

Published in: Problems of Information Transmission (Search for Journal in Brave)

zbMATH Keywords

finite fieldshyper-bent functionsbinary nonlinearity index

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Polynomials over finite fields (11T06) Boolean functions (06E30)

Related Items (5)

Victor Timofeevich Markov (21.06.1948 -- 15.07.2019) ⋮ Decomposing self-dual bent functions ⋮ Some classes of balanced functions over finite fields with a small value of the linear characteristic ⋮ PIECEWISE-AFFINE PERMUTATIONS OF FINITE FIELDS ⋮ Unnamed Item

Cites Work

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• Generalized bent functions and their properties
• On ``bent functions
• Hyper-bent functions and cyclic codes
• A new general construction for generalized bent functions
• Properties of bent functions of q-valued logic over finite fields
• Bent functions from a finite abelian group into a finite abelian group
• Generalized partial spreads
• Two New Classes of Bent Functions
• Approximation of Boolean functions by monomial ones

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