Geodesic
On vectors of minimal support in transitive linear spaces
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 960-966

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We discuss the minimum distance problem of some transitive linear spaces. A minimal support of vectors in monogenerated coordinate-transitive spaces problem is solved for ones generated by a vector of weight 2. In the case of generating vector of weight 3 some conjectures are provided by computer experiments. Attainable lower bound on the support cardinality with respect to dimension of linear space is obtained. Also a connection between full-rank criterion for vector and tilings of groups is mentioned.
Keywords: transitive linear spaces, support of a vector, minimum distance problem.
Mots-clés : code distance 
@article{SEMR_2015_12_a58,
     author = {S. V. Avgustinovich and O. G. Parshina},
     title = {On vectors of minimal support in transitive linear spaces},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {960--966},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a58/}
}
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S. V. Avgustinovich; O. G. Parshina. On vectors of minimal support in transitive linear spaces. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 960-966. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a58/