Beiträge zur Algebra und Geometrie <BR> Contributions to Algebra and GeometryVol. 40, No. 2, pp. 495-502 (1999)

On Full Partial Quasigroups of Finite Order and Local Cardinal Maximum Codes

Jörn Quistorff

Speckenreye 48, D-22119 Hamburg, Germany

Abstract: Stojakovic/Usan's result on the minimal size of a full partial quasigroup of a given finite order is improved and generalized to full partial $n$-quasigroups: An implicite lower bound is proved, some upper bounds are given. The minimal size of a full partial quasigroup is determined. Some cases for full partial $n$-quasigroups are also solved. The correspondence between full partial $n$-quasigroups of finite order and local cardinal maximum codes is used.

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