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http://hdl.handle.net/123456789/57
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DC Field | Value | Language |
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dc.contributor.author | Belyavskaya, G. B. | - |
dc.date.accessioned | 2015-10-19T13:04:21Z | - |
dc.date.available | 2015-10-19T13:04:21Z | - |
dc.date.issued | 2003-04-23 | - |
dc.identifier.uri | http://hdl.handle.net/123456789/57 | - |
dc.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. | uk_UA |
dc.language.iso | en | uk_UA |
dc.publisher | Луганский национальный университет им. Т. Шевченко | uk_UA |
dc.title | On check character systems over quasigroups and loops | uk_UA |
dc.type | Article | uk_UA |
Appears in Collections: | Статті |
Files in This Item:
File | Description | Size | Format | |
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adm-n2-2003-1.pdf | 153.66 kB | Adobe PDF | View/Open |
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