数学杂志2026，Vol.46Issue(1)：20-30,11.
基于置换多项式簇的五类置换码构造及其参数分析
CONSTRUCTION AND PARAMETER ANALYSIS OF FIVE CLASSES OF PERMUTATION CODES FROM PERMUTATION POLYNOMIAL CLUSTERS
摘要
Abstract
This paper investigates the construction of permutation codes based on the permutation polynomials over finite fields.By utilizing some permutation polynomials of the form f(x)=αxm+βx(where m is a positive integer)over finite fields,five classes of permutation codes are constructed.Employing some techniques of solving equations over finite fields,the parameters of these codes are determined,including the code length,cardinality,and minimum Hamming distance.The obtained results enrich the theory about the construction of permutation codes.关键词
置换多项式/置换码/极小汉明距离/码字数量/有限域Key words
permutation polynomial/permutation code/minimum Hamming distance/cardinality/Finite field分类
数理科学引用本文复制引用
叶娜,夏永波..基于置换多项式簇的五类置换码构造及其参数分析[J].数学杂志,2026,46(1):20-30,11.基金项目
国家自然科学基金资助项目(62171479) （62171479）
中南民族大学中央高校基本科研业务费专项资金项目(CZZ25008). （CZZ25008）
