曲阜师范大学学报(自然科学版)2024,Vol.50Issue(2):57-67,11.DOI:10.3969/j.issn.1001-5337.2024.2.057
与弱正则高原平衡函数相关的线性码
Linear codes associated with weakly regular plateaued balanced functions
摘要
Abstract
Several families of linear codes are constructed based on the defining sets by choosing appro-priate defining sets from two weakly regular plateaued balanced functions.Their weight distributions are explicitly determined by applying the properties of Walsh transform and exponential sums.These linear codes,which have a few non-zero weights,can be used in the fields such as secret sharing schemes and asso-ciation schemes.关键词
弱正则高原平衡函数/Walsh变换/线性码Key words
weakly regular plateaued balanced functions/Walsh transform/linear codes分类
数理科学引用本文复制引用
张同慧,杨淑娣..与弱正则高原平衡函数相关的线性码[J].曲阜师范大学学报(自然科学版),2024,50(2):57-67,11.基金项目
国家自然科学基金(12071247) (12071247)
曲阜师范大学研究生学位论文科研创新基金(LWCXS20225). (LWCXS20225)