Part 2. Special Issues in Intellectual Systems Theory

On the associativity index of finite quasigroups

K. D. Tsaregorodtsev

JSC «NPK Kryptonite»

Abstract: In this paper we review the results on the number of associative triples in generic quasigroups and quasigroups from restricted classes. Lower and upper bounds on the number of triples are considered, and experimental results on the associativity index of quasigroups generated by proper families of boolean functions are provided.

Keywords: associative triple, quasigroup, proper family of boolean functions