Bent Functions with a Small Number of Variables
Abstract
In this chapter, we discuss what is known about bent functions in a small number of variables. Bent functions with not more than 14 variables are considered. We present extended affine classifications of bent functions in n variables and the exact numbers of them (up to n = 8), and give details of some other approaches to classification: in terms of trace forms, by bent rectangles, and by graphs of algebraic normal forms (for quadratic bent functions). Special bent functions (such as nonnormal functions) in a small number of variables are also considered. An overview of algorithms for bent functions generation is presented.
Keywords
Extended affine equivalence
Graph equivalence ...
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