Asymptotics for the number of n-quasigroups of order 4

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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.
15 p., 3 fig

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