The combinatorial (19_4) configurations

Authors

  • Octavio Páez Osuna National Autonomous University of Mexico (UNAM), Mexico
  • Rodolfo San Agustín Chi National Autonomous University of Mexico (UNAM), Mexico

DOI:

https://doi.org/10.26493/1855-3974.216.59d

Keywords:

(19_4)-configurations, Symmetric Designs, Finite Geometries, NMDS-Code, Paralell Backtracking search with isomorph rejection.

Abstract

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.

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Published

2012-03-06

Issue

Vol. 5 No. 2 (2012)

Section

Articles

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/