Characterization of weakly regular \(p\)-ary bent functions of \(\ell \)-form

DOI10.1007/s10623-024-01411-zMaRDI QIDQ6618608

Jungyun Lee, Jong Yoon Hyun, Yoon-Jin Lee

Publication date: 14 October 2024

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

zbMATH Keywords

\(p\)-ary bent functionweakly regular bent function\(\ell\)-formweakly-regular dual-bent function

Mathematics Subject Classification ID

Boolean functions (94D10)

Cites Work

• Linear codes with two or three weights from quadratic bent functions
• Linear codes with few weights from weakly regular bent functions based on a generic construction
• Strongly regular graphs constructed from \(p\)-ary bent functions
• Strongly regular graphs associated with ternary bent functions
• Generalized bent functions and their properties
• On ``bent functions
• A survey of partial difference sets
• Bent and vectorial bent functions, partial difference sets, and strongly regular graphs
• Vectorial bent functions and their duals
• Characterization of \(p\)-ary functions in terms of association schemes and its applications
• Vectorial bent functions and partial difference sets
• Ramanujan graphs and expander families constructed from \(p\)-ary bent functions
• Association schemes arising from bent functions
• New results on vectorial dual-bent functions and partial difference sets
• Linear Codes With Two or Three Weights From Weakly Regular Bent Functions
• A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing
• Necessary Conditions for the Existence of Regular $p$-Ary Bent Functions
• Monomial and quadratic bent functions over the finite fields of odd characteristic
• Characterization of <inline-formula> <tex-math notation="LaTeX">$p$ </tex-math> </inline-formula>-ary Bent Functions in Terms of Strongly Regular Graphs

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