Peak-to-mean power control in OFDM, Golay complementary sequences and Reed-Muller codes

We present a range of coding schemes for orthogonal frequency division multiplexing (OFDM) transmission at high code rates using binary, quaternary, octary and higher-order modulation. These schemes have tightly bounded peak-to-mean envelope power ratio (PMEPR) and simultaneously have good error correction capability. The key theoretical result is a previously unrecognised connection between Golay complementary sequences and second-order Reed-Muller codes over the ring Z(2^h)