Approximation of vectorial functions over finite fields and their restrictions to linear manifolds by affine analogues

DOI10.1515/DMA-2023-0035zbMATH Open1541.94096MaRDI QIDQ6548980

Vladimir G. Ryabov

Publication date: 3 June 2024

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

zbMATH Keywords

manifoldfinite fieldnonlinearityrestrictionvectorial function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Finite fields (field-theoretic aspects) (12E20) Boolean functions (94D10)

Cites Work

• 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
• Maximally nonlinear functions over finite fields
• Bounds for the number of Boolean functions admitting affine approximations of a given accuracy
• Properties of bent functions of q-valued logic over finite fields
• Criteria for maximal nonlinearity of a function over a finite field
• Nonlinearity of functions over finite fields
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