On check character systems over quasigroups and loops

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/57

Title:	On check character systems over quasigroups and loops
Authors:	Belyavskaya, G. B.
Issue Date:	23-Apr-2003
Publisher:	Луганский национальный университет им. Т. Шевченко
Description:	In this article we study check character systems that is error detecting codes, which arise by appending a check digit an to every word a1a2...an−1 : a1a2...an−1 → a1a2...an−1an with the check formula (...((a1 · ±a2) · ±2a3)...) · ±n−2an−1) · ±n−1an = c, where Q(·) is a quasigroup or a loop, ± is a permutation of Q, c ∈ Q. We consider detection sets for such errors as transpositions (ab → ba), jump transpositions (acb → bca), twin errors (aa → bb) and jump twin errors (aca → bcb) and an automorphism equivalence (a weak equivalence) for a check character systems over the same quasigroup (over the same loop). Such equivalent systems detect the same percentage (rate) of the considered error types.
URI:	http://hdl.handle.net/123456789/57
Appears in Collections:	Статті

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