Two recursive algorithms for computing the weight distribution of certain irreducible cyclic codes

被引:13
作者
Moisio, MJ [1 ]
Väänänen, KO
机构
[1] Univ Vaasa, Dept Math & Stat, FIN-65101 Vaasa, Finland
[2] Univ Oulu, Dept Math Sci, FIN-90571 Oulu, Finland
关键词
exponential sums; Gauss sums; weight distribution;
D O I
10.1109/18.761277
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Two recursive algorithms for computing the weight distributions of certain binary irreducible cyclic codes of length n in the so-called index 2 case are presented. The running times of these algorithms are smaller than O(log(2) r) where r = 2(m) and n is a factor of r - 1.
引用
收藏
页码:1244 / 1249
页数:6
相关论文
共 10 条
[1]  
BAUMERT LD, 1973, 321526 JPL, P128
[2]   PURE GAUSS SUMS OVER FINITE-FIELDS [J].
EVANS, RJ .
MATHEMATIKA, 1981, 28 (56) :239-248
[3]   A DETERMINISTIC ALGORITHM FOR SOLVING N=FU2+GV2 IN COPRIME INTEGERS U AND V [J].
HARDY, K ;
MUSKAT, JB ;
WILLIAMS, KS .
MATHEMATICS OF COMPUTATION, 1990, 55 (191) :327-343
[4]  
Langevin P., 1997, J NUMBER THEORY, V32, P59
[5]  
LIDL R, 1984, ENCY MATH ITS APPL, V20
[6]  
MACWILLIAMS J, 1981, IEEE T INFORM THEORY, V27, P796, DOI 10.1109/TIT.1981.1056420
[7]  
MCELIECE RJ, 1974, COMBINATORICS 1, P179
[8]  
MOISIO M, 1997, MATH U OULU JUN, P1
[9]   Hasse-Davenport curves, Gauss sums, and weight distributions of irreducible cyclic codes [J].
vanderVlugt, M .
JOURNAL OF NUMBER THEORY, 1995, 55 (02) :145-159
[10]  
WOLFRAM S, 1988, MATH SYSTEM MATH COM