2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134223An efficient decoder for the generalized first-order Reed-Muller code RM_q(1,m) is essential for the decoding of various block-coding schemes for orthogonal frequency-division multiplexing with reduced peak-to-mean power ratio. We present an efficient and simple maximum-likelihood decoding algorithm for RM_q(1,m). It is shown that this algorithm has lower complexity than other previously known maximum-likelihood decoders for RM_q(1,m).5 pages, accepted for publication in IEEE Communications LettersInformation Theorytext