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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2004, Number 3, Pages 17–24
(Mi basm175)
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Research articles
On check character systems over groups
G. Beliavscaia, A. Diordiev Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova
Abstract:
In this note we study check character systems (with one control symbol) over groups (over abelian groups) and the check formula $a_1\cdot\delta a_2\cdot\delta^2 a_3\cdots\delta^n a_{n+1}=e$, where $e$ is the identity of a group, $\delta$ is an automorphism (a permutation) of a group. For a group we consider strongly regular automorphisms (anti-automorphisms), their connection with good automorphisms and establish necessary and sufficient conditions in order that a system to be able to detect all single errors, transpositions, jump transpositions, twin errors and jump twin errors simultaneously.
Keywords and phrases:
Group, abelian group, automorphism, complete mapping, orthomorphism, code, check character system.
Received: 11.11.2004
Citation:
G. Beliavscaia, A. Diordiev, “On check character systems over groups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2004, no. 3, 17–24
Linking options:
https://www.mathnet.ru/eng/basm175 https://www.mathnet.ru/eng/basm/y2004/i3/p17
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Statistics & downloads: |
Abstract page: | 139 | Full-text PDF : | 58 | References: | 20 | First page: | 1 |
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