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 SM ISO690:2012BELYAVSKAYA, Galina, IZBASH, Vladimir, SHCHERBACOV, Victor. Check character systems over quasigroups and loops. In: Quasigroups and Related Systems, 2003, nr. 1(10), pp. 1-28. ISSN 1561-2848. |
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| Quasigroups and Related Systems | ||||||
| Numărul 1(10) / 2003 / ISSN 1561-2848 | ||||||
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| Pag. 1-28 | ||||||
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In this paper we survey the known results concerning check character (or digit) systems with one check character based on quasigroups (loops, groups). These are codes with one control symbol detecting errors of speci_c types. This survey includes the following sections: 1. Introduction. 2. Check character systems over groups. 3. Check character systems over quasigroups. 4. Check character systems over T-quasigroups. 5. Detection sets and detection rate. 6. Equivalence of check character systems. 7. Check character systems as n-ary operations. |
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