中南民族大学学报(自然科学版)2016,Vol.35Issue(2):157-162,6.
一类带有两个 Niho 型指数的循环码的重量分布
Weight Distribution of a Class of Cyclic Codes with Two Niho Exponents
摘要
Abstract
In this paper , a class of cyclic codes with two Niho exponents was investigated .Taking the exponential sum as a tool, the five possible nonzero weights of these cyclic codes were obtained .Further, by computing the power sums of the exponential sums , the weight distributions of the cyclic codes were determined .Compared with the known research results , a new method for computing the power sums was proposed , which provides a more efficient way to compute the weight distributions of the cyclic codes constructed here .关键词
循环码/Niho型指数/重量分布/指数和Key words
cyclic code/Niho exponent/weight distribution/exponential sum分类
数学引用本文复制引用
夏永波,上官晓天,白涛..一类带有两个 Niho 型指数的循环码的重量分布[J].中南民族大学学报(自然科学版),2016,35(2):157-162,6.基金项目
国家自然科学基金资助项目(11301552);中南民族大学研究生创新基金资助项目 ()