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JOURNALS // Problemy Peredachi Informatsii // Archive

Probl. Peredachi Inf., 1988 Volume 24, Issue 1, Pages 102–105 (Mi ppi690)

Ņorrespondence

On One Property of the Hamming Code

Yu. L. Sagalovich


Abstract: We derive a necessary and sufficient condition for correction of all byte errors of length 2 by the code formed by lengthening the extended cyclic Hamming code by one bit while preserving the parity check. The problem is shown to be noninvariant relative to various primitive polynomials generating the Hamming code.

UDC: 621.391.15

Received: 13.06.1986


 English version:
Problems of Information Transmission, 1988, 24:1, 79–81

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© Steklov Math. Inst. of RAS, 2026