Asymptotics for the number of n-quasigroups of order 4

Details Asymptotics for the number of n-quasigroups of order 4 Asymptotics for the number of n-quasigroups of order 4

2006-05-03

arxiv.org/abs/math/0605104v1

Sib. Math. J. 47(4) 2006, 720-731. Transl. from Sib. Mat. Zh. 47(4) 2006, 873-887 (Russian)

Mathematics

Combinatorics

15 p., 3 fig

Scientific paper

10.1007/s11202-006-0083-9

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.

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