Genetic search for quasigroups with heterogeneous power sequences

Genetic algorithms have been successfully used for searching for quasigroups with good properties. In this study we extend previous work done on evolutionary search for quasigroups by defining new fitness functions based on selected algebraical properties of the quasigroups. Introduced fitness functions make use of heterogeneous sequences generated during the exponentiation of quasigroups elements. Effects of the artificial evolution utilizing proposed fitness functions are illustrated on quasigroups of the order 8, 10, and 12.