2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158635It is proved an amplification of Cusick-Cheon's conjecture on balanced Boolean functions in the cosets of the binary Reed-Muller code RM(k,m) of order k and length 2^m, in the cases where k = 1 or k >= (m-1)/2.3 pages, Submitted to IEEE Transactions on Information TheoryInformation TheoryOn Cusick-Cheon's Conjecture About Balanced Boolean Functions in the Cosets of the Binary Reed-Muller Codetext