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Probl. Peredachi Inf., 2016, Volume 52, Issue 3, Pages 92–96 (Mi ppi2214)  

Coding Theory

On perfect codes that do not contain Preparata-like codes

D. S. Krotov, A. Yu. Vasil'eva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

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

Funding Agency Grant Number
Russian Science Foundation 14-11-00555
The research was carried out at the expense of the Russian Science Foundation, project no. 14-11-00555.


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English version:
Problems of Information Transmission, 2016, 52:3, 284–288

Bibliographic databases:

UDC: 621.391.15
Received: 30.12.2015
Revised: 10.03.2016

Citation: D. S. Krotov, A. Yu. Vasil'eva, “On perfect codes that do not contain Preparata-like codes”, Probl. Peredachi Inf., 52:3 (2016), 92–96; Problems Inform. Transmission, 52:3 (2016), 284–288

Citation in format AMSBIB
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\pages 92--96
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  • Проблемы передачи информации Problems of Information Transmission
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