Geodesic
On partitions into affine nonequivalent perfect $q$-ary codes
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 425-434

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It is proved that there exists a partition of the set $F^N_q$ of all $q$-ary vectors of length $N$ into pairwise affine nonequivalent perfect $q$-ary codes of length $N$ with the Hamming distance $3$ for any $N=(q^m-1)/(q-1)$, where $q=p^r,$ $p$ is prime.
Keywords: perfect $q$-ary code, partition into perfect codes, switching
Mots-clés : affine nonequivalence of codes. 
@article{SEMR_2010_7_a26,
     author = {A. V. Los' and F. I. Solov'eva},
     title = {On partitions into affine nonequivalent perfect $q$-ary codes},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {425--434},
     publisher = {mathdoc},
     volume = {7},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2010_7_a26/}
}
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A. V. Los'; F. I. Solov'eva. On partitions into affine nonequivalent perfect $q$-ary codes. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 425-434. http://geodesic.mathdoc.fr/item/SEMR_2010_7_a26/