Quasigroups with good statistical properties

Quasigroups are a well-known combinatorial design equivalent to more familiar Latin squares. Since all possible elements of a quasigroup occur with equal probability, it could be an interesting tool for information assurance and network security. Most of the previous implementations of quasigroups were based on look-up table of the quasigroup, on system of distinct representatives etc. which is infeasible for large quasigroups. This paper presents statistical tests which enable us selection of good quasigroups.