Generalized bent functions -- some general construction methods and related necessary and sufficient conditions

DOI10.1007/S12095-015-0126-9zbMath1343.94064OpenAlexW1983717725MaRDI QIDQ892507

Samir Hodžić, Enes Pašalić

Publication date: 19 November 2015

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-015-0126-9

zbMATH Keywords

Walsh-Hadamard transformgeneralized bent functionsgeneralized Boolean functions

Mathematics Subject Classification ID

Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05)

Related Items (10)

Walsh-Hadamard transforms of generalized \(p\)-ary functions and \(C\)-finite sequences ⋮ Partial spread and vectorial generalized bent functions ⋮ Generalized bent functions -- sufficient conditions and related constructions ⋮ Generalized bent Boolean functions and strongly regular Cayley graphs ⋮ Construction methods for generalized bent functions ⋮ On generalized hyper-bent functions ⋮ A secondary construction of bent functions, octal gbent functions and their duals ⋮ Gowers \(U_2\) norm as a measure of nonlinearity for Boolean functions and their generalizations ⋮ \(C\)-differential bent functions and perfect nonlinearity ⋮ Generalized Bent Functions and Their Gray Images

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• A family of difference sets in non-cyclic groups
• Complementary Sets, Generalized Reed–Muller Codes, and Power Control for OFDM
• Bent functions from a finite abelian group into a finite abelian group
• Two New Classes of Bent Functions
• Quaternary Constant-Amplitude Codes for Multicode CDMA
• Generalizations of bent functions. A survey

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