Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
420940 | Discrete Applied Mathematics | 2007 | 5 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Qingshu Meng, Huanguo Zhang, Min Yang, Jingsong Cui,