Fuchsian codes for AWGN channels
Iván Blanco-Chacón, Dionís Remón, Camilla Hollanti, Montserrat Alsina · arXiv (Cornell University) · 2013
We develop a new transmission scheme for additive white Gaussian noisy (AWGN) single-input single-output (SISO) channels without fading based on arithmetic Fuchsian groups. The properly discontinuous character of the action of these groups on the upper half-plane translates into logarithmic decoding complexity.