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