Affiliation of Author(s):理学院
Journal:数学学报(中文版)
Key Words:不可约负循环码;本原幂等元;有限域;
Abstract:设F_q为一个阶为q的有限域,其中q为奇数.本文研究了x~n+1在F_q上的不可约分解及环F_q[x]/中所有本原幂等元,这里的n是素因子整除q-1的某些正整数.进一步,得到了F_q上所有长度为n的不可约负循环码的检验多项式及极小汉明距离.
Translation or Not:no
Date of Publication:2018-05-15
Co-author:王玉琨
Correspondence Author:cxw
Professor
Supervisor of Doctorate Candidates
Gender:Male
Education Level:北京大学
Degree:Doctoral Degree in Science
School/Department:College of Science
Discipline:Basic Mathematics. Applied Mathematics. Mathematics
Contact Information:http://faculty.nuaa.edu.cn/cxw1/zh_CN/index.htm
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