The second weight of generalized Reed-Muller codes in most cases

被引：0
作者：
Robert Rolland
机构：
[1] Institut de Mathématiques de Luminy,
来源：
Cryptography and Communications | 2010年 / 2卷
关键词：
Finite field; Footprint; Generalized Reed-Muller code; Gröbner basis; Hamming weight; Hypersurface; Second weight; Weight distribution; 11G25; 11T71;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The second weight of the Generalized Reed-Muller code of length qn and order d over the finite field with q elements is now known for d < q and d > (n − 1)(q − 1). In this paper, we determine the second weight for the other values of d which are not multiples of q − 1 plus 1. For the special case d = a(q − 1) + 1 we give an estimate.
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页码：19 / 40
页数：21
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