摘要
近年来,具有少重量的循环码得到了广泛研究。少重量的循环码可应用于消费电子产品、数据存储系统和通信系统等领域。文章选择合适的定义集得到了一些少重量的循环码,基于特征和理论得到了该码重量分布的精确值。研究表明,所设计的线性码为3重或者9重的,并且可应用于秘密共享方案。
Recently,cyclic codes with low weight have been extensively studied.Cyclic codes with low weight can be used in consumer electronics,data storage systems and communication systems.This paper selects the appropriate definition set to get some cyclic codes with low weight.Based on the characteristics and theory,the exact value of the code weight distribution is obtained.Research shows that the designed linear code is three-weight or nine-weight,and can be applied to secret sharing schemes.
作者
李梦
刘丽
谢贤红
LI Meng;LIU Li;XIE Xianhong(School of Mathematics, Hefei University of Technology, Hefei 230601, China;School of Cyberspace Security, University of Science and Technology of China, Hefei 230026, China)
出处
《合肥工业大学学报（自然科学版）》
CAS
北大核心
2020年第10期1426-1434,共9页
Journal of Hefei University of Technology：Natural Science
基金
国家自然科学基金资助项目(11501156)。
关键词
指数和
二次型
重量分布
循环码
密钥共享方案
exponential sum
quadratic form
weight distributions
cyclic codes
secret sharing schemes
