The weight distributions of irreducible cyclic codes of length 2m

被引:17
作者
Sharma, Anuradha [1 ]
Bakshi, Gurmeet K. [1 ]
Raka, Madhu [1 ]
机构
[1] Panjab Univ, Ctr Adv Study Math, Chandigarh 160014, India
关键词
irreducible cyclic codes; cyclotomic cosets;
D O I
10.1016/j.ffa.2007.07.004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let m be a positive integer and q be an odd prime power. In this paper, the weight distributions of all the irreducible cyclic codes of length 2(m) over F-q are determined explicitly. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:1086 / 1095
页数:10
相关论文
共 8 条
[1]  
Augot D., 1996, Finite Fields and their Applications, V2, P138, DOI 10.1006/ffta.1996.0009
[2]   WEIGHTS OF IRREDUCIBLE CYCLIC CODES [J].
BAUMERT, LD ;
MCELIECE, RJ .
INFORMATION AND CONTROL, 1972, 20 (02) :158-&
[3]   Sums of Gauss sums and weights of irreducible codes [J].
Fitzgerald, RW ;
Yucas, JL .
FINITE FIELDS AND THEIR APPLICATIONS, 2005, 11 (01) :89-110
[4]  
Mac Williams F., 1977, THEORY ERROR CORRECT
[5]  
MACWILLIAMS J, 1981, IEEE T INFORM THEORY, V27, P796, DOI 10.1109/TIT.1981.1056420
[6]   Two recursive algorithms for computing the weight distribution of certain irreducible cyclic codes [J].
Moisio, MJ ;
Väänänen, KO .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (04) :1244-1249
[7]  
SHARMA A, IN PRESS IRREDUCIBLE
[8]   Hasse-Davenport curves, Gauss sums, and weight distributions of irreducible cyclic codes [J].
vanderVlugt, M .
JOURNAL OF NUMBER THEORY, 1995, 55 (02) :145-159