On a code reconstruction by correlation coefficients of its subcodes

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• 作者：S. V. Avgustinovich (14262) (24262)
  E. V. Gorkunov (14262) (24262)
  
• 关键词：code ; strong isometry ; reconstruction ; equivalent codes
• 刊名：Journal of Applied and Industrial Mathematics
• 出版年：2013
• 出版时间：April 2013
• 年：2013
• 卷：7
• 期：2
• 页码：127-130
• 全文大小：460KB
• 参考文献：1. S. V. Avgustinovich, 鈥淥n the Strong Isometry of Binary Codes,鈥?Diskret. Anal. Issled. Oper. Ser.1. 7(3), 3鈥? (2000).
  2. Zh. K. Abdurakhmanov 鈥淥n the Geometric Structure of Error-Correcting Codes,鈥?Candidate鈥檚 Dissertation in Mathematics and Physics (Tashkent, 1991).
  3. S. V. Avgustinovich and F. I. Solov鈥檈va, 鈥淭o the Metric Rigidity of Binary Codes,鈥?Problemy Peredachi Informatsii 39(2), 23鈥?8 (2003) [Problems Inform. Transmission 39 (2), 178鈥?83 (2003)].
  4. V. Yu. Krasin, 鈥淥n the Weak Isometries of the Boolean Cube,鈥?Diskret. Anal. Issled. Oper. Ser.1. 13(4), 26鈥?2 (2006) [J. Appl. Indust. Math. 1 (4), 463鈥?67 (2007)].
  5. F. I. Solov鈥檈va, S. V. Avgustinovich, T. Honold, and W. Heise, 鈥淥n the Extendability of Code Isometries,鈥?J. Geom. 61, 3鈥?6 (1998).
  6. E. V. Gorkunov and S. V. Avgustinovich, 鈥淥n the Reconstruction of Binary Codes from the Dimensions of Their Subcodes,鈥?Diskret. Anal. Issled. Oper. 17(5), 15鈥?1 (2010) [J. Appl. Indust. Math. 5 (3), 348鈥?51 (2011)].
  
• 作者单位：S. V. Avgustinovich (14262) (24262)
  E. V. Gorkunov (14262) (24262)
  
  14262. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
  24262. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
  
• ISSN：1990-4797

文摘

A generalization is obtained of the theorem on reconstruction of a binary code from dimensions of its subcodes. The notion is proposed of a correlation coefficient of the family of subcodes which, in the present consideration, is an analog for the dimension of a binary subcode.