Totally Symmetric Quasigroups of Order 16
Hy Ginsberg
TL;DR
This paper enumerates totally symmetric quasigroups of order 16, providing counts and classifications, and extends previous results to include medial cases for all orders up to 16.
Contribution
It offers the first complete enumeration of totally symmetric quasigroups of order 16 and classifies medial cases for all orders up to 16.
Findings
Number of totally symmetric quasigroups of order 16 provided.
Classification of isomorphism classes included.
Medial totally symmetric quasigroups analyzed for all orders up to 16.
Abstract
We present the number of totally symmetric quasigroups (equivalently, totally symmetric Latin squares) of order 16, as well as the number of isomorphism classes, and extend previously published results to include information on the number and classes of medial totally symmetric quasigroups for all orders up to and including 16.
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Taxonomy
Topicsgraph theory and CDMA systems · Mathematics and Applications