Maximally nonlinear functions over finite fields

DOI10.1515/DMA-2023-0005OpenAlexW4321638997MaRDI QIDQ2688839

Vladimir G. Ryabov

Publication date: 6 March 2023

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma-2023-0005

zbMATH Keywords

finite fieldnonlinearitybent functionsaffine functions\(q\)-valued logic

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Boolean functions (06E30) Many-valued logic (03B50) Theory of error-correcting codes and error-detecting codes (94B99)

Related Items (3)

Criteria for maximal nonlinearity of a function over a finite field ⋮ Characteristics of nonlinearity of vectorial functions over finite fields ⋮ Nonlinearity of functions over finite fields

Cites Work

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• Generalized bent functions and their properties
• On ``bent functions
• On the degree of restrictions of \(q\)-valued logic vector functions to linear manifolds
• Approximation of restrictions of \(q\)-valued logic functions to linear manifolds by affine analogues
• Properties of bent functions of q-valued logic over finite fields
• ON THE RANK OF RANDOM QUADRATIC FORM OVER FINITE FIELD
• ON THE DEGREE OF RESTRICTIONS OF q-VALUED LOGIC FUNCTIONS TO LINEAR MANIFOLDS

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