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Simple Maximum-Likelihood Decoding of Generalized First-order Reed-Muller Codes

Kai-Uwe Schmidt·Adolf Finger
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Abstract

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).

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Kai-Uwe Schmidt, Adolf Finger. 2005-08-03. Simple Maximum-Likelihood Decoding of Generalized First-order Reed-Muller Codes. https://arxiv.org/abs/cs/0508026

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