Asymptotics for the number of n-quasigroups of order 4

Abstract

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

Cited by in corpus (4)

• n-Ary quasigroups of order 4
• On the number of 1-perfect binary codes: a lower bound
• On irreducible n-ary quasigroups with reducible retracts
• On reducibility of n-ary quasigroups