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JOURNALS // Problemy Peredachi Informatsii // Archive

Probl. Peredachi Inf., 1993 Volume 29, Issue 1, Pages 45–51 (Mi ppi162)

This article is cited in 8 papers

Information Theory and Coding Theory

Uniqueness of Some Linear Subcodes of the Extended Binary Golay Code

S. M. Dodunekov, S. B. Encheva


Abstract: We prove that up to equivalence, there exist only two $[18,6,8]$ codes and only one $[n,n-12,8]$ code, $19\le n\le 23$. All the considered codes can be obtained after a suitable shortening of the binary $[24,12,8]$ Golay code.

UDC: 621.391.15

Received: 12.05.1991


 English version:
Problems of Information Transmission, 1993, 29:1, 38–43

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© Steklov Math. Inst. of RAS, 2024