Basic Reed-Muller codes and their connection with powers of the radical of group algebra over a non-prime field / I. N. Tumaikin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. № 6. P. 46-49 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

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.