Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 6, Pages 9–15 (Mi vmumm539)  
Mathematics

Construction of generator polynomials for residue codes of degrees $5$–$8$

A. L. Artamonov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A generalization of quadratic residue codes for a higher degree case is considered. Properties of $h$-power residue codes are studied. In some cases, it is possible to indicate the form and method of construction of a generator polynomial. Using the results obtained here, we can construct a generator polynomial of residue codes of degrees $5$–$8$.
Key words: quadratic residue codes, coding theory, idempotents.
Received: 11.02.2011
English version:
Moscow University Mathematics Bulletin, 2013, Volume 68, Issue 1, Pages 7–13
DOI: https://doi.org/10.3103/S0027132213010026
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: A. L. Artamonov, “Construction of generator polynomials for residue codes of degrees $5$–$8$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 6, 9–15; Moscow University Mathematics Bulletin, 68:1 (2013), 7–13
Citation in format AMSBIB
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\by A.~L.~Artamonov
\paper Construction of generator polynomials for residue codes of degrees $5$--$8$
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 6
\pages 9--15
\mathnet{http://mi.mathnet.ru/vmumm539}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2013
\vol 68
\issue 1
\pages 7--13
\crossref{https://doi.org/10.3103/S0027132213010026}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84874982919}
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