合肥工业大学学报(自然科学版)
閤肥工業大學學報(自然科學版)
합비공업대학학보(자연과학판)
JOURNAL OF HEFEI UNIVERSITY OF TECHNOLOGY(NATURAL SCIENCE)
2014年
10期
1269-1272
,共4页
负循环码%对偶码%自对偶码
負循環碼%對偶碼%自對偶碼
부순배마%대우마%자대우마
negacyclic code%dual code%self-dual code
文章运用有限链环理论,研究了环R=Fpm+uFpm上的任意长度的负循环码,通过环R上线性码的剩余码及挠码给出了环R上长度为1的负循环码及其对偶码的结构,并分别确定了p=2和p>2时自对偶负循环码存在的充分必要条件。
文章運用有限鏈環理論,研究瞭環R=Fpm+uFpm上的任意長度的負循環碼,通過環R上線性碼的剩餘碼及撓碼給齣瞭環R上長度為1的負循環碼及其對偶碼的結構,併分彆確定瞭p=2和p>2時自對偶負循環碼存在的充分必要條件。
문장운용유한련배이론,연구료배R=Fpm+uFpm상적임의장도적부순배마,통과배R상선성마적잉여마급뇨마급출료배R상장도위1적부순배마급기대우마적결구,병분별학정료p=2화p>2시자대우부순배마존재적충분필요조건。
By using the theory of finite chain rings ,the negacyclic codes of arbitrary length over R=Fpm + uFpm are studied .By the residue code and torsion code of linear codes over the ring R ,the struc-tures of negacyclic codes over the ring R whose length is one and their dual codes are given ,and the sufficient and necessary conditions about the existence of self-dual negacyclic codes are also determined w hen p =2 or p >2 .