Article ID Journal Published Year Pages File Type
420940 Discrete Applied Mathematics 2007 5 Pages PDF
Abstract

In this paper, the degree of homogeneous bent functions is discussed. We prove that for any nonnegative integer kk, there exists a positive integer NN such that for n⩾Nn⩾N there exist no 2n2n- variable homogeneous bent functions having degree n-kn-k or more, where NN is the least integer satisfying 2N-1>N+10+N+11+⋯+N+1k+1.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
Authors
, , , ,