Homogeneous bent functions of degree \(n\) in 2\(n\) variables do not exist for \(n>3\)

DOI10.1016/j.dam.2004.02.006zbMath1048.94016OpenAlexW1975837968WikidataQ59485065 ScholiaQ59485065MaRDI QIDQ1878407

Josef Pieprzyk, Chris Charnes, Tianbing Xia, Jennifer Seberry Wallis

Publication date: 19 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.dam.2004.02.006

zbMATH Keywords

difference setshomogeneousbent

Mathematics Subject Classification ID

Cryptography (94A60) Boolean functions (06E30)

Related Items (12)

ON THE NONEXISTENCE of BENT FUNCTIONS ⋮ On the existence and non-existence of some classes of bent-negabent functions ⋮ On the degree of homogeneous bent functions ⋮ Four decades of research on bent functions ⋮ Unnamed Item ⋮ Nonexistence of certain types of plateaued functions ⋮ Bent Functions and Codes with Low Peak-to-Average Power Ratio for Multi-Code CDMA ⋮ Rotation symmetric Boolean functions-count and cryptographic properties ⋮ 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

Cites Work

• Generalized bent functions and their properties
• Some infinite classes of special Williamson matrices and difference sets
• On ``bent functions
• Cubic bent functions
• Homogeneous bent functions

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