Homogeneous bent functions

DOI10.1016/S0166-218X(99)00234-6zbMath1016.94029WikidataQ59485077 ScholiaQ59485077MaRDI QIDQ1972912

Chengxin Qu, Josef Pieprzyk, Jennifer Seberry Wallis

Publication date: 6 August 2003

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

permutationsBoolean functionshomogeneous bent functions

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Authentication, digital signatures and secret sharing (94A62)

Related Items (13)

Homogeneous bent functions of degree \(n\) in 2\(n\) variables do not exist for \(n>3\) ⋮ On the \(p\)-ary (cubic) bent and plateaued (vectorial) functions ⋮ On the degree of homogeneous bent functions ⋮ Relationship between homogeneous bent functions and Nagy graphs ⋮ A quadratic part of a bent function can be any ⋮ Four decades of research on bent functions ⋮ Bent Functions and Codes with Low Peak-to-Average Power Ratio for Multi-Code CDMA ⋮ Rotation symmetric Boolean functions-count and cryptographic properties ⋮ Boolean functions with MacWilliams duality ⋮ A novel algorithm enumerating bent functions ⋮ On quadratic approximations in block ciphers ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Generalized bent functions and their properties
• B-functions encountered in modular codes
• On ``bent functions
• Partially-bent functions
• Comments on "Generating and counting binary Bent sequences"
• Two New Classes of Bent Functions

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