On perfect codes that do not contain Preparata-like codes


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Abstract

We show that for every length of the form 4k - 1 there exists a binary 1-perfect code that does not contain any Preparata-like code.

About the authors

D. S. Krotov

Sobolev Institute of Mathematics

Author for correspondence.
Email: krotov@math.nsc.ru
Russian Federation, Novosibirsk

A. Yu. Vasil’eva

Sobolev Institute of Mathematics

Email: krotov@math.nsc.ru
Russian Federation, Novosibirsk

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