This article is cited in 2 papers

On distance nonregularity of Preparata codes

F. I. Solov'eva^a, N. N. Tokareva<sup>b

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
^b Novosibirsk State University, Mechanics and Mathematics Department

Abstract: It is shown that among all Preparata codes only the code of length 16 is distance regular. An analogous result takes place for Preparata codes after puncturing any coordinate (only the code of length 15 is distance regular).

Keywords: Preparata codes, perfect codes, distance regular codes, automorphism groups of codes.

UDC: 519.725

Received: 20.12.2005

 English version: Siberian Mathematical Journal, 2007, 48:2, 327–333

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