Type Ⅱ codes over finite rings  

Type Ⅱ codes over finite rings

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作  者:DOUGHERTY Steven T 

机构地区:[1]Department of Mathematics,University of Scranton Scranton,PA 18510, USA

出  处:《Science China Mathematics》2010年第1期203-212,共10页中国科学:数学(英文版)

基  金:supported by National Natural Science Foundation of China (Grant No.10871079)

摘  要:In this paper,we generalize the concept of Type Ⅱ codes to arbitrary finite rings. We focus on Type Ⅱ codes over finite chain rings and use the Chinese Remainder Theorem on these codes to study Type Ⅱ codes over principal ideal rings.In this paper,we generalize the concept of Type Ⅱ codes to arbitrary finite rings. We focus on Type Ⅱ codes over finite chain rings and use the Chinese Remainder Theorem on these codes to study Type Ⅱ codes over principal ideal rings.

关 键 词:FINITE principal IDEAL RINGS FINITE chain RINGS SELF-DUAL CODES TYPE  CODES 

分 类 号:O153.3[理学—数学]

 

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