MacWilliams duality and a Gleason-type theorem on self-dual bent functions

DOI10.1007/s10623-011-9554-5zbMath1259.94071OpenAlexW1998300657MaRDI QIDQ411489

Jong Yoon Hyun, Heisook Lee, Yoon-Jin Lee

Publication date: 4 April 2012

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-011-9554-5

zbMATH Keywords

Gleason theoremformally self-dual Boolean functionMacWilliams dualityself-dual bent function

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cryptography (94A60) Boolean functions (06E30)

Related Items

Trace codes over \(\mathbb {Z}_4,\) and Boolean functions, Decomposing self-dual bent functions, Towards the classification of self-dual bent functions in eight variables, Unnamed Item, METRICAL PROPERTIES OF THE SET OF BENT FUNCTIONS IN VIEW OF DUALITY, Explicit criterions for \(p\)-ary functions being non-bent, Boolean functions with MacWilliams duality, Metrical properties of self-dual bent functions, The group of automorphisms of the set of self-dual bent functions

Cites Work

• Self-dual bent functions
• Strongly regular graphs associated with ternary bent functions
• Generalized MacWilliams identities and their applications to perfect binary codes
• On ``bent functions
• Fundamentals of Error-Correcting Codes
• Unnamed Item
• Unnamed Item
• Unnamed Item