n-Ary quasigroups of order 4

Details n-Ary quasigroups of order 4 n-Ary quasigroups of order 4

2007-01-18

arxiv.org/abs/math/0701519v2

SIAM J. Discrete Math. 23(2) 2009, 561-570

Mathematics

Combinatorics

10pp. V2: revised

Scientific paper

10.1137/070697331

We characterize the set of all N-ary quasigroups of order 4: every N-ary quasigroup of order 4 is permutably reducible or semilinear. Permutable reducibility means that an N-ary quasigroup can be represented as a composition of K-ary and (N-K+1)-ary quasigroups for some K from 2 to N-1, where the order of arguments in the representation can differ from the original order. The set of semilinear N-ary quasigroups has a characterization in terms of Boolean functions. Keywords: Latin hypercube, n-ary quasigroup, reducibility

Affiliated with

Also associated with

No associations

Rating

n-Ary quasigroups of order 4 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with n-Ary quasigroups of order 4, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and n-Ary quasigroups of order 4 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-70809