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).

引用

页码：2068 / 2071

页数：4

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