Conference devoted to the 90th anniversary of Alexei A. Lyapunov

Akademgorodok, Novosibirsk, Russia, October 8-11, 2001,
(state registration number 0320300064)

Abstracts

Cybernetiks

On the reconstruction of n-quasigroups of order 4 and the upper bounds on their numbers

Krotov D.S., Potapov V.N.

Sobolev Institute of Mathematics (Novosibirsk)

The number of ways for partial n-quasigroups of order 4 to be extended to n-quasigroups is investigated. The upper bound on the number of n-quasigroups of order 4 is arrived. The asimptotic 3ⁿ⁺¹2^{2^{^n}+1} of that number is established.

The work is supported by the RFBR grants 00-01-00822 and 99-01-00531.

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