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Abstract: It is well known that the degree of a 2m-variable bent function is at most m. However, the case in homogeneous bent functions is not clear. In this paper, it is proved that there is no homogeneous bent functions of degree m in 2m variables when m > 3; there is no homogenous bent function of degree m- 1 in 2m variables when m > 4; Generally, for any nonnegative integer k, there exists a positive integer N such that when m > N , there is no homogeneous bent functions of degree m-k in 2m... (Update)
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BibTeX entry: (Update)
@misc{ meng-degree,
author = "Qing-shu Meng and Huan-guo Zhang and Min Yang and Jing-song Cui",
title = "On the Degree of Homogeneous Bent Functions",
url = "citeseer.ist.psu.edu/article/meng04degree.html" }
Citations (may not include all citations):88 Journal of Combinatorial Theory (context) - On, functions - 1976
18 Spectral domain analysis of correlation immune and resilient.. - Carlet, Sarkar - 2002
15 Bent-function sequences (context) - Olsen, Scholtz et al. - 1982
12 Two new classes of bent functions (context) - Carlet - 1994
7 Generalized partial spreads (context) - Carlet - 1995
6 Results on bent functions (context) - Hou - 1997 ACM
5 Elementary Hadmard Di#erence Sets (context) - Dillon - 1974
5 Designing bent functions using evolving computing (context) - Meng, Zhang et al. - 2004
4 An novel algorithm enumerating bent functions (context) - Meng, Yang et al. - 2004
3 Kluewer Acdemmic publishers (context) - Charnes, Rotteler et al. - 2002
3 Homogeneous bent functions of degree n in 2n variables do no.. - Xia, Seberry et al. - 2004
3 Cubic bent funcitons (context) - Hou - 1998
3 A simple proof for the nonexistence of homogenous bent funct.. (context) - Meng, Zhang et al.
3 Discrete Applied Mathematics (context) - Qu, Seberry et al. - 2000
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