New results on vectorial dual-bent functions and partial difference sets

DOI10.1007/s10623-022-01103-6OpenAlexW4221156019WikidataQ113903982 ScholiaQ113903982MaRDI QIDQ2678981

Jiaxin Wang, Fang-Wei Fu

Publication date: 18 January 2023

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

Full work available at URL: https://arxiv.org/abs/2202.03817

zbMATH Keywords

bent functionsWalsh transformpartial difference setvectorial bent functionsvectorial dual-bent functions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Boolean functions (94D10)

Related Items (2)

Constructions of linear codes with two or three weights from vectorial dual-bent functions ⋮ On generalized spread bent partitions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strongly regular graphs constructed from \(p\)-ary bent functions
• Strongly regular graphs associated with ternary 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
• A survey on \(p\)-ary and generalized bent functions
• Vectorial bent functions and partial difference sets
• Linear Codes With Two or Three Weights From Weakly Regular Bent Functions
• The Geometry of Two-Weight Codes
• Characterization of <inline-formula> <tex-math notation="LaTeX">$p$ </tex-math> </inline-formula>-ary Bent Functions in Terms of Strongly Regular Graphs
• Partial difference sets from quadratic forms and $p$-ary weakly regular bent functions

This page was built for publication: New results on vectorial dual-bent functions and partial difference sets