Complete coset weight distributions of second order Reed-Muller code of length 64
Michio Ozeki, Katsushi Waki · QIR (Kyushu University Institutional Repository) (Kyushu University) · 2011
In this paper we determine the complete coset weight distributions of the second order Reed-Muller code RM(2; 6) of length 64. Our method fully uses the interaction between the Jacobi polynomials for the code RM(2; 6) and those of the dual code RM(3; 6). The method also employs the group theoretic reduction processes to diminish the runtimes of computing the Jacobi polynomials for the code RM(2; 6) in great effect.