On the dual of (non)-weakly regular bent functions and self-dual bent functions

DOI10.3934/AMC.2013.7.425zbMath1329.94056OpenAlexW2079976070MaRDI QIDQ380682

Ayça Çeşmelioǧlu, Wilfried Meidl, Alexander Pott

Publication date: 14 November 2013

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2013.7.425

zbMATH Keywords

Fourier transformduals of bent functionsself-dual bent functions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Boolean functions (06E30)

Related Items (13)

Bent partitions ⋮ Generalized Rothaus construction and non-weakly regular bent functions ⋮ Bent and vectorial bent functions, partial difference sets, and strongly regular graphs ⋮ A survey on \(p\)-ary and generalized bent functions ⋮ On the normality of \(p\)-ary 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 ⋮ Generalized Maiorana-McFarland class and normality of \(p\)-ary bent functions ⋮ Vectorial bent functions and partial difference sets ⋮ Duals of non-weakly regular bent functions are not weakly regular and generalization to plateaued functions ⋮ Vectorial bent functions and their duals ⋮ Vectorial bent functions in odd characteristic and their components ⋮ Imprimitive symmetric association schemes of classes 5 and 6 arising from ternary non-weakly regular bent functions

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