On the degree of homogeneous bent functions

DOI10.1016/J.DAM.2006.10.008zbMath1131.94319OpenAlexW1991498823MaRDI QIDQ875602

Qingshu Meng, Min Yang, Jingsong Cui, Huanguo Zhang

Publication date: 13 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.dam.2006.10.008

zbMATH Keywords

Fourier transformcryptographyhomogeneous bent functions

Mathematics Subject Classification ID

Cryptography (94A60) Boolean functions (06E30)

Related Items (10)

ON THE NONEXISTENCE of BENT FUNCTIONS ⋮ Classification of some cosets of the Reed-Muller code ⋮ Four decades of research on bent functions ⋮ Unnamed Item ⋮ Nonexistence of certain types of plateaued functions ⋮ The eight variable homogeneous degree three bent functions ⋮ Boolean functions with MacWilliams duality ⋮ A novel algorithm enumerating bent functions ⋮ On the weight and nonlinearity of homogeneous rotation symmetric Boolean functions of degree 2 ⋮ Unnamed Item

Cites Work

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• Differential cryptanalysis of DES-like cryptosystems
• On ``bent functions
• Homogeneous bent functions, invariants, and designs
• Homogeneous bent functions of degree \(n\) in 2\(n\) variables do not exist for \(n>3\)
• Homogeneous bent functions
• A family of difference sets in non-cyclic groups
• Bent-function sequences
• Generalized partial spreads
• Two New Classes of Bent Functions
• On the coefficients of binary bent functions

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