The combinatorial (19_4) configurations
Ars Mathematica Contemporanea, Tome 5 (2012) no. 2, pp. 235-241.

Voir la notice de l'article provenant de la source Ars Mathematica Contemporanea website

A parallel backtrack search is carried out to classify, up to isomorphism, all combinatorial (194) configurations. A total of 269 224 652 such configurations were found. We prove that two of the combinatorial (194) configurations are not geometrically realizable over any field. Also we confirmed the computation of the 971 171 combinatorial (184) configurations which lacked an independent verification.
DOI : 10.26493/1855-3974.216.59d
Keywords: (19_4)-configurations, Symmetric Designs, Finite Geometries, NMDS-Code, Paralell Backtracking search with isomorph rejection.
@article{10_26493_1855_3974_216_59d,
     author = {Octavio P\'aez Osuna and Rodolfo San Agust{\'\i}n Chi},
     title = {The combinatorial (19_4) configurations},
     journal = {Ars Mathematica Contemporanea},
     pages = {235--241},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {2012},
     doi = {10.26493/1855-3974.216.59d},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.216.59d/}
}
TY  - JOUR
AU  - Octavio Páez Osuna
AU  - Rodolfo San Agustín Chi
TI  - The combinatorial (19_4) configurations
JO  - Ars Mathematica Contemporanea
PY  - 2012
SP  - 235
EP  - 241
VL  - 5
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.216.59d/
DO  - 10.26493/1855-3974.216.59d
LA  - en
ID  - 10_26493_1855_3974_216_59d
ER  - 
%0 Journal Article
%A Octavio Páez Osuna
%A Rodolfo San Agustín Chi
%T The combinatorial (19_4) configurations
%J Ars Mathematica Contemporanea
%D 2012
%P 235-241
%V 5
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.216.59d/
%R 10.26493/1855-3974.216.59d
%G en
%F 10_26493_1855_3974_216_59d
Octavio Páez Osuna; Rodolfo San Agustín Chi. The combinatorial (19_4) configurations. Ars Mathematica Contemporanea, Tome 5 (2012) no. 2, pp. 235-241. doi : 10.26493/1855-3974.216.59d. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.216.59d/

Cité par Sources :