一类长度为2^(m)的负循环码的重量分布  

Weight Distribution of a Class of Negacyclic Codes of Length 2^(m)

作　　者：黄山 HUANG Shan(Anhui Vocational College of Police Officers,Hefei 230031,China)

机构地区：[1]安徽警官职业学院,安徽合肥230031

出　　处：《兰州文理学院学报（自然科学版）》2022年第3期12-16,共5页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：安徽省高校自然科学重点项目(KJ2021A1469、KJ2020A1059、KJ2020A1058)。

摘　　要：研究了有限域F_(q)上长度为2^(m)的不可约负循环码,其中q是奇素数幂.利用分圆陪集理论,确定了该类不可约负循环码的参数,并给出了几类不可约负循环码的重量分布.In this paper,irreducible negacyclic codes of length 2^(m) over F_(q) were studied,where q was an odd prime power.By cyclotomic coset theory,the parameters of this class of irreducible negacyclic codes were determined,and the weight distributions of some classes of irreducible negacyclic codes were given.

关 键 词：不可约负循环码 分圆陪集 重量分布 

分 类 号：O157.4[理学—数学]