中国科学技术大学学报
中國科學技術大學學報
중국과학기술대학학보
JOURNAL OF UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA
2014年
12期
986-990
,共5页
循环码%对偶码%深度分布%深度谱
循環碼%對偶碼%深度分佈%深度譜
순배마%대우마%심도분포%심도보
cyclic code%self-dual code%depth distribution%depth spectrum
研究了环 R＝ Fp k ＋ u Fp k上任意长度的循环码及其自对偶码的深度分布和深度谱。利用环 R上循环码的生成多项式及R上线性码的深度分布，给出了环 R上循环码及其自对偶码的深度分布和深度谱，并给出了长度为 pm的循环码的深度分布和深度谱。
研究瞭環 R＝ Fp k ＋ u Fp k上任意長度的循環碼及其自對偶碼的深度分佈和深度譜。利用環 R上循環碼的生成多項式及R上線性碼的深度分佈，給齣瞭環 R上循環碼及其自對偶碼的深度分佈和深度譜，併給齣瞭長度為 pm的循環碼的深度分佈和深度譜。
연구료배 R＝ Fp k ＋ u Fp k상임의장도적순배마급기자대우마적심도분포화심도보。이용배 R상순배마적생성다항식급R상선성마적심도분포，급출료배 R상순배마급기자대우마적심도분포화심도보，병급출료장도위 pm적순배마적심도분포화심도보。
The depth distribution and spectrum of cyclic codes and self‐dual codes of an arbitrary length over ring R= Fpk + uFpk were studied . Using the generator polynomials of cyclic codes and the depth distribution of linear codes over ring R ,the depth distribution and depth spectrum of cyclic codes and self‐dual codes over the ring R were given ,along with those of cyclic codes of length pm were also given .
