Bent Rectangles
Abstract
Description
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.
Submitted to Proceedings of the NATO Advanced Study Institute on Boolean Functions in Cryptology and Information Security (Moscow, September 8-18, 2007)
Submitted to Proceedings of the NATO Advanced Study Institute on Boolean Functions in Cryptology and Information Security (Moscow, September 8-18, 2007)