Duals of non-weakly regular bent functions are not weakly regular and generalization to plateaued functions

DOI10.1016/j.ffa.2020.101668zbMath1481.94169OpenAlexW3011383154MaRDI QIDQ1987111

Rumi Melih Pelen, Ferruh Özbudak

Publication date: 9 April 2020

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2020.101668

zbMATH Keywords

value distributionWalsh transformplateaued functionsduals of bent functionsnon-weakly regular bent functions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Boolean functions (94D10)

Related Items (4)

A survey on \(p\)-ary and generalized bent functions ⋮ Strongly regular graphs arising from non-weakly regular bent functions ⋮ Several classes of new weakly regular bent functions outside \(\mathcal{RF}\), their duals and some related (minimal) codes with few weights ⋮ Imprimitive symmetric association schemes of classes 5 and 6 arising from ternary non-weakly regular bent functions

Cites Work

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• Explicit Criteria for Construction of Plateaued Functions
• There Are Infinitely Many Bent Functions for Which the Dual Is Not Bent
• Boolean and Vectorial Plateaued Functions and APN Functions
• Generalized Plateaued Functions and Admissible (Plateaued) Functions
• On Semi-bent Functions and Related Plateaued Functions Over the Galois Field 𝔽 2 n $$\mathbb{F}_{2^{n}}$$
• Bent Functions

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