WEIGHT DISTRIBUTIONS OF SOME BINARY PRIMITIVE CYCLIC CODES

被引：6
作者：
WOLFMANN, J
机构：
[1] G.E.C.T., Universite de Toulon
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 1994年 / 40卷 / 06期
关键词：
BINARY CYCLIC CODES; WEIGHT DISTRIBUTION;
D O I：
10.1109/18.340482
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Let s and k be integers such that s is a divisor of 2k - 1. Let g(x) be a divisor of x(s) - 1 over F2, and let pi(x) be a primitive polynomial of degree k over F2. We consider the binary cyclic code C of length N = 2k - 1 generated by (x(N) - 1)/g(x)pi(x). For special cases, we determine the weight distribution of C by using the weights of the cyclic code of length s generated by (x(s) - 1)/g(x).
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页码：2068 / 2071
页数：4
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