Asymptotics for the number of n-quasigroups of order 4
  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. 
Vladimir Potapov (Sobolev Institute of Mathematics, Novosibirsk,   Russia), Denis Krotov (Sobolev Institute of Mathematics, ...