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

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.

MSC:

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