Class of generalized Goppa codes perfect in weighted Hamming metric

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• 作者：Sergey Bezzateev (1)
  Natalia Shekhunova (1)
  
• 关键词：Goppa codes ; Generalized (L ; G) codes ; Perfect codes ; Weighted Hamming metric ; 94B05
• 刊名：Designs, Codes and Cryptography
• 出版年：2013
• 出版时间：3 - January 2013
• 年：2013
• 卷：66
• 期：1
• 页码：391-399
• 全文大小：179KB
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• 作者单位：Sergey Bezzateev (1)
  Natalia Shekhunova (1)
  
  1. Saint Petersburg State University of Aerospace Instrumentation, St. Petersburg, 190000, Russia
  
• ISSN：1573-7586

文摘

A weighted Hamming metric is considered. A class of binary linear codes consistent with the weighted Hamming metric is discussed. A class of binary generalized Goppa codes perfect in the weighted Hamming metric is offered.