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Homogeneous weights of matrix product codes over finite principal ideal rings

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成果类型:
期刊论文
作者:
Fan, Yun;Ling, San;Liu, Hongwei*
通讯作者:
Liu, Hongwei
作者机构:
[Liu, Hongwei; Fan, Yun] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Ling, San] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637616, Singapore.
通讯机构:
[Liu, Hongwei] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Finite principal ideal ring;Homogeneous weight;Matrix product code
期刊:
Finite Fields and Their Applications
ISSN:
1071-5797
年:
2014
卷:
29
页码:
247-267
基金类别:
Quite a part of this work was done while the first and third authors were visiting the Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, in Autumn 2011. They are grateful for the hospitality and support. They also thank NSFC for the support through Grants No. 11271005 and No. 11171370 . Part of the work was also done when the second author was visiting the School of Mathematics and Statistics, Central China Normal University, Wuhan, in Spring 2012. The author acknowledges the support and hospitality received. The work of this author was partially supported by the National Research Foundation-Prime Minister's office, Republic of Singapore Competitive Research Programme NRF-CRP2-2007-03 . It is also the authors' pleasure to thank the anonymous referees for their helpful comments and suggestions.
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:
In this paper, the homogeneous weights of matrix product codes over finite principal ideal rings are studied and a lower bound for the minimum homogeneous weights of such matrix product codes is o...

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