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V.A. Zinoviev, D.V. Zinoviev (2006)
Binary Extended Perfect Codes of Length 16 and Rank 14Probl. Peredachi Inf., 42
P. Östergård, Olli Pottonen, K. Phelps (2009)
The Perfect Binary One-Error-Correcting Codes of Length 15: Part II—PropertiesIEEE Transactions on Information Theory, 56
V.A. Zinoviev, D.V. Zinoviev (2002)
Binary Extended Perfect Codes of Length 16 by the Generalized Concatenated ConstructionProbl. Peredachi Inf., 38
V. Zinoviev, D. Zinoviev (2004)
Binary Perfect Codes of Length 15 by the Generalized Concatenated ConstructionProblems of Information Transmission, 40
V. Zinoviev, D. Zinoviev (2002)
Binary Extended Perfect Codes of Length 16 by the Generalized Concatenated ConstructionProblems of Information Transmission, 38
V.A. Zinoviev, D.V. Zinoviev (2004)
Binary Perfect Codes of Length 15 by the Generalized Concatenated ConstructionProbl. Peredachi Inf., 40
P. Östergård, Olli Pottonen (2008)
The Perfect Binary One-Error-Correcting Codes of Length $15$: Part I—ClassificationIEEE Transactions on Information Theory, 55
V. Zinoviev, D. Zinoviev (2006)
Binary extended perfect codes of length 16 and rank 14Problems of Information Transmission, 42
Inaccuracies in computations in the paper of the authors on classification of perfect binary codes of lengths 15 and 16 and of rank 13 are fixed. An explicit construction of all extended perfect codes of length 16 and rank 13 with a given kernel size is presented. Perfect binary codes of length 15 and rank 14 obtained by the general doubling construction are classified.
Problems of Information Transmission – Springer Journals
Published: Apr 23, 2010
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