Cubic bent functions outside the completed Maiorana-McFarland class

DOI10.1007/s10623-019-00712-yzbMath1453.94173arXiv1908.11271OpenAlexW3103624135MaRDI QIDQ2200508

Alexandr A. Polujan, Alexander Pott

Publication date: 22 September 2020

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

Full work available at URL: https://arxiv.org/abs/1908.11271

zbMATH Keywords

homogeneous functionscubic bent functionscompleted Maiorana-McFarland classaffine derivativesequivalence of Boolean functions

Mathematics Subject Classification ID

Cryptography (94A60) Applications of design theory to circuits and networks (94C30) Boolean functions (06E30) Applications to coding theory and cryptography of arithmetic geometry (14G50) Boolean functions (94D10)

Related Items (6)

Bent functions in the partial spread class generated by linear recurring sequences ⋮ Explicit infinite families of bent functions outside the completed Maiorana-McFarland class ⋮ Further investigations on permutation based constructions of bent functions ⋮ Constructions of several special classes of cubic bent functions outside the completed Maiorana-McFarland class ⋮ Vectorial Boolean functions with the maximum number of bent components beyond the Nyberg's bound ⋮ Derivatives of bent functions in connection with the bent sum decomposition problem

Uses Software

• Magma
• Mathematica

Cites Work

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