On full partial quasigroups of finite order and local cardinal maximum codes. (English) Zbl 0951.20055

Quistorff, Jörn

Beitr. Algebra Geom. 40, No. 2, 495-502 (1999).

In this paper: (1) the minimal size of a full partial quasigroup is determined; (2) some cases for full partial \(n\)-quasigroups are also solved; and (3) the correspondence between full partial \(n\)-quasigroups of finite order and local cardinal maximum codes is used.

Reviewer: J.J.Ušan (Novi Sad)

MSC:

20N15	\(n\)-ary systems \((n\ge 3)\)
94B60	Other types of codes
20N05	Loops, quasigroups
08A55	Partial algebras

Keywords:

groupoids; Latin squares; full partial quasigroups; partial \(n\)-quasigroups; local cardinal maximum codes