The weight enumerator of the duals of a class of cyclic codes with three zeros

被引：0
作者：
Shudi Yang
Zheng-An Yao
Chang-An Zhao
机构：
[1] Sun Yat-sen University,Department of Mathematics
[2] Qufu Normal University,School of Mathematical Sciences
来源：
Applicable Algebra in Engineering, Communication and Computing | 2015年 / 26卷
关键词：
Cyclic codes; Gaussian periods; Gauss sums; Cyclotomic numbers; Weight distribution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Cyclic codes and their dual codes have been an interesting subject studied for many years. However, their weight distributions are known for a few special cases only. In this paper, we determine the weight distributions for the duals of a class of reducible cyclic codes with three zeros.
引用
收藏
页码：347 / 367
页数：20
相关论文
共 85 条
[1]  
Baumert L(1972)Weights of irreducible cyclic codes Inf. Control 20 158-175
[2]  
McEliece RJ(1982)Uniform cyclotomy J. Number Theory 14 67-82
[3]  
Baumert L(1973)Weight distributions of some irreducible cyclic codes DSN Prog. Rep. 16 128-131
[4]  
Mills W(1997)The Magma algebra system. I. The user language J. Symb. Comput. 24 235-265
[5]  
Ward RL(2010)The weight distributions of cyclic codes with two zeros and zeta functions J. Symb. Comput. 45 723-733
[6]  
Baumert L(1998)Codes, bent functions and permutations suitable for DES-like cryptosystems Des. Codes Cryptogr. 15 125-156
[7]  
Mykkeltveit J(2004)Cyclic codes with few weights and Niho exponents J. Comb. Theory Ser. A 108 247-259
[8]  
Bosma W(2009)The weight distribution of some irreducible cyclic codes IEEE Trans. Inf. Theory 55 955-960
[9]  
Cannon J(2011)The weight distributions of the duals of cyclic codes with two zeros IEEE Trans. Inf. Theory 57 8000-8006
[10]  
Playoust C(2013)Hamming weights in irreducible cyclic codes Discrete Math. 313 434-446
123456789