F. I. Solov'eva, A. V. Los', “On partitions into perfect <nobr>$q$</nobr>-ary codes”, Diskretn. Anal. Issled. Oper., 2009, Volume 16, Issue 3,Pages <nobr>63

This article is cited in 6 papers

On partitions into perfect $q$-ary codes

F. I. Solov'eva^ab, A. V. Los'^ba

^a Novosibirsk State University, Novosibirsk, Russia
^b S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia

Abstract: For any admissible $N$ we present two constructions of different partitions of the $N$-dimensional vector space over $GF(q)$ into perfect $q$-ary codes, where $q>2$ is a power of a prime. The lower bounds on the number of such partitions are given. Bibl. 12.

UDC: 519.2+621.391

Received: 28.10.2008
Revised: 01.04.2009