An Analysis of the 𝒞 Class of Bent Functions
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Publication:4976390
DOI10.3233/FI-2016-1386zbMath1408.94948MaRDI QIDQ4976390
Sugata Gangopadhyay, Pantelimon Stănică, Bimal Mandal, Enes Pašalić
Publication date: 28 July 2017
Published in: Fundamenta Informaticae (Search for Journal in Brave)
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Polynomials over finite fields (11T06)
Related Items (13)
Some general properties of modified bent functions through addition of indicator functions ⋮ Constructions of (vectorial) bent functions outside the completed Maiorana-McFarland class ⋮ Permutations without linear structures inducing bent functions outside the completed Maiorana-McFarland class ⋮ A complete characterization of \(\mathcal{D}_0 \cap\mathcal{M}^\#\) and a general framework for specifying bent functions in \(\mathcal{C}\) outside \(\mathcal{M}^\#\) ⋮ Vectorial bent functions weakly/strongly outside the completed Maiorana-McFarland class ⋮ Vectorial Boolean functions with the maximum number of bent components beyond the Nyberg's bound ⋮ Further analysis of bent functions from \(\mathcal{C}\) and \(\mathcal{D}\) which are provably outside or inside \(\mathcal{M}^{\#} \) ⋮ New classes of \(p\)-ary bent functions ⋮ Bent Functions in $$\mathcal C$$ and $$\mathcal D$$ Outside the Completed Maiorana-McFarland Class ⋮ Infinite classes of generalised complete permutations ⋮ Algebraic methods in difference sets and bent functions ⋮ Constructing new superclasses of bent functions from known ones ⋮ Two secondary constructions of bent functions without initial conditions
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