Efficient maximum likelihood decoding of peak power limiting codes for OFDM

We derive an efficient maximum likelihood soft decision decoding method for peak-to-mean power ratio limiting codes, of interest in OFDM transmission schemes. We extend the well known method of decoding first order Reed-Muller codes to the case of Q-ary information vectors and Q-PSK modulation. In addition we describe reduced-complexity methods of decoding, which simulations show to lose only fractions of a dB compared to the maximum-likelihood method.