Vectorial bent functions and their duals

DOI10.1016/j.laa.2018.03.016zbMath1391.94862OpenAlexW2793446615MaRDI QIDQ1748090

Alexander Pott, Wilfried Meidl, Ayça Çeşmelioǧlu

Publication date: 2 May 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.03.016

zbMATH Keywords

vectorial bent functionsdual of a bent function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Combinatorial codes (94B25) Group actions on combinatorial structures (05E18)

Related Items (10)

Bent and vectorial bent functions, partial difference sets, and strongly regular graphs ⋮ Constructions of (vectorial) bent functions outside the completed Maiorana-McFarland class ⋮ A survey on \(p\)-ary and generalized bent functions ⋮ Several new classes of self-dual bent functions derived from involutions ⋮ Constructions of linear codes with two or three weights from vectorial dual-bent functions ⋮ New results on vectorial dual-bent functions and partial difference sets ⋮ Unnamed Item ⋮ Bent and \(\mathbb{Z}_{2^k}\)-bent functions from spread-like partitions ⋮ Vectorial bent functions and partial difference sets ⋮ A new method for secondary constructions of vectorial bent functions

Cites Work

• Unnamed Item
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• Commutative semifields and symplectic spreads.
• A construction of bent functions from plateaued functions
• Classification of \(p\)-ary self dual quadratic bent functions, \(p\) odd
• Generalized Maiorana-McFarland class and normality of \(p\)-ary bent functions
• Bent functions on partial spreads
• There Are Infinitely Many Bent Functions for Which the Dual Is Not Bent
• Monomial and quadratic bent functions over the finite fields of odd characteristic
• Perfect nonlinear S-boxes
• Z/sub 2/k-linear codes
• Bent Functions of Maximal Degree

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