西北师范大学学报（自然科学版）2018，Vol.54Issue(2)：30-35,6.DOI:10.16783/j.cnki.nwnuz.2018.02.006
几类二重和三重线性码的构造
A construction of several classes of two-weight and three-w eight linear codes
摘要
Abstract
Linear codes with a few weights can be applied in secret sharing schemes,authentication codes and association schemes.Constructing linear codes from defining sets is an important research direction in coding theory.If the defining sets are well chosen,a few nonzero-weight linear codes can be obtained.In this paper,several classes of two-weight and three-weight linear codes are constructed from a new defining set and their explicit weight distribution are obtained using exponential sums.Researches show that these codes are all two-weight or three-weight and may have applications in secret sharing scheme.关键词
线性码/重量分布/高斯和/秘密共享方案Key words
linear codes/weight distribution/Gauss sum/secret sharing scheme分类
信息技术与安全科学引用本文复制引用
杜小妮,李晓丹,吕红霞,赵丽萍..几类二重和三重线性码的构造[J].西北师范大学学报（自然科学版）,2018,54(2):30-35,6.基金项目
国家自然科学基金资助项目(61462077,61772022) （61462077,61772022）
