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1. Constructing block designs with a prescribed automorphism group using genetic algorithm.

Author

Crnković, Dean and Zrinski, Tin

Subjects
*AUTOMORPHISM groups, *GENETIC algorithms, *STEINER systems, *BLOCK designs, *ORBITS (Astronomy)
Abstract

We propose a method of constructing block designs which combine genetic algorithm and a method for constructing designs with a prescribed automorphism group using tactical decompositions (i.e., orbit matrices). We apply this method to construct new Steiner systems with parameters S(2,5,45) $S(2,5,45)$ and new symmetric designs with parameters (71, 15, 3). [ABSTRACT FROM AUTHOR]

Published
2022
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