A Study on the generation method of the Generalized Reed-Muller Coefficient using the Triangle cell

초록

In this paper, we propose the computation method of GRM coefficients over GF(2) using Triangle cell. GRM expansions of each polarity contain different numbers of product terms. Hence, the minimum form may be selected from them. So people studied many methods to get all sets of GRM coefficients. And the method proposed by W. Besslich requires modulo ?sums, but the method proposed in this letter requires only (the number of modulo-sums for n-1 variable) + ones. From this proposed method we can get easily GRM coefficients.