Asymptotics for the number of n-quasigroups of order 4

Vladimir Potapov, Denis Krotov

The asymptotic form of the number of n-quasigroups of order 4 is $3^{n+1}{2}^{2^n+1}(1+o(1))$. Keywords: n-quasigroups, MDS codes, decomposability, reducibility.