Bent Rectangles

2008/04/01 by Agievich, Sergey · 1 citation
#05B20 #06E30 (Primary) 11T71 #94A60 (Secondary) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.0804.0209

Abstract

We study generalized regular bent functions using a representation by bent rectangles, that is, special matrices with restrictions on rows and columns. We describe affine transformations of bent rectangles, propose new biaffine and bilinear constructions, study partitions of a vector space into affine planes of the same dimension and use such partitions to build bent rectangles. We illustrate the concept of bent rectangles by examples for the Boolean case.

Cited by

• A note on Tight Irreducible Affine Spreads

Related

• On the representation of bent functions by bent rectangles
• Classifying bent functions by their Cayley graphs
• (Not) weakly regular univariate bent functions
• Bent functions using Maiorana-McFarland secondary construction
• Decomposition of bent generalized Boolean functions