On the largest subsets avoiding the diameter of (0, ±1)-vectors
Adachi, Saori ; Nozaki, Hiroshi
ARS MATHEMATICA CONTEMPORANEA, Tome 12 (2016), / Harvested from ARS MATHEMATICA CONTEMPORANEA
link
link
link

Let Lmkl ⊂ Rm + k + l be the set of vectors which have m of entries  − 1, k of entries 0, and l of entries 1. In this paper, we investigate the largest subset of Lmkl whose diameter is smaller than that of Lmkl. The largest subsets for m = 1, l = 2, and any k will be classified. From this result, we can classify the largest 4-distance sets containing the Euclidean representation of the Johnson scheme J(9, 4). This was an open problem in Bannai, Sato, and Shigezumi (2012).

Publié le : 2016-01-01
DOI : https://doi.org/10.26493/1855-3974.935.4e0 
@article{935,
     title = {On the largest subsets avoiding the diameter of (0, $\pm$1)-vectors},
     journal = {ARS MATHEMATICA CONTEMPORANEA},
     volume = {12},
     year = {2016},
     doi = {10.26493/1855-3974.935.4e0},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/935}
}

Adachi, Saori; Nozaki, Hiroshi. On the largest subsets avoiding the diameter of (0, ±1)-vectors. ARS MATHEMATICA CONTEMPORANEA, Tome 12 (2016) . doi : 10.26493/1855-3974.935.4e0. http://gdmltest.u-ga.fr/item/935/