%0 Journal Article %T Simple Maximum-Likelihood Decoding of Generalized First-order Reed-Muller Codes %A Kai-Uwe Schmidt %A Adolf Finger %J Mathematics %D 2005 %I arXiv %X An 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). %U http://arxiv.org/abs/cs/0508026v1