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Iso-orthogonality and Type-II duadic constacyclic codes

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成果类型:
期刊论文
作者:
Fan, Yun*;Zhang, Liang
通讯作者:
Fan, Yun
作者机构:
[Zhang, Liang; Fan, Yun] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
通讯机构:
[Fan, Yun] C
Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Finite field;Constacyclic code;Isometry;Even-like duadic code;Iso-orthogonal code
期刊:
Finite Fields and Their Applications
ISSN:
1071-5797
年:
2016
卷:
41
期:
C
页码:
1-23
基金类别:
The research of the authors is supported by NSFC with grant number 11271005 . It is the authors' pleasure to thank the anonymous referees for their helpful comments which led to improvements of the paper.
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
Generalizing even-like duadic cyclic codes and Type-II duadic negacyclic codes, we introduce even-like (i.e., Type-II) and odd-like duadic constacyclic codes, and study their properties and existence. We show that even-like duadic constacyclic codes are isometrically orthogonal, and the duals of even-like duadic constacyclic codes are odd-like duadic constacyclic codes. We exhibit necessary and sufficient conditions for the existence of even-like duadic constacyclic codes. A class of even-like duadic constacyclic codes which a...

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