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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013 Number 6, Pages 46–49 (Mi vmumm451)
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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.

UDC: 511

Received: 26.11.2012


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

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© Steklov Math. Inst. of RAS, 2026