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Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, Number 6, Pages 46–49 (Mi vmumm451)  

Short notes

Basic Reed–Muller codes and their connections with powers of radical of group algebra over a non-prime field

I. N. Tumaikin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We show that there are no equalities between basic Reed–Muller codes and radical powers of a corresponding group algebra over non-prime field.

Key words: Reed–Muller codes, basic Reed–Muller codes, radical powers, group algebra.

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English version:
Moscow University Mathematics Bulletin, 2013, 68:6, 295–298

Bibliographic databases:

UDC: 511
Received: 26.11.2012

Citation: I. N. Tumaikin, “Basic Reed–Muller codes and their connections with powers of radical of group algebra over a non-prime field”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 6, 46–49; Moscow University Mathematics Bulletin, 68:6 (2013), 295–298

Citation in format AMSBIB
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\by I.~N.~Tumaikin
\paper Basic Reed--Muller codes and their connections with powers of radical of group algebra over a non-prime field
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2013
\issue 6
\pages 46--49
\mathnet{http://mi.mathnet.ru/vmumm451}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3228758}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2013
\vol 68
\issue 6
\pages 295--298
\crossref{https://doi.org/10.3103/S0027132213060077}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84891699013}


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