Iván Blanco-Chacón, Dionís Remón, Camilla Hollanti, Montserrat Alsina
Published 2013-07-27, updated 2014-01-23Version 2
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.
Comments: This is an extended version of a work with the same title which has been already published in the Proceedings of the Workshop on Cryptography and Coding Theory (Bergen, 2013). I particular, it contains extra material on the generation of the constellation. In the first version, there were some simulation errors that have now been corrected
One-shot achievability and converse bounds of Gaussian random coding in AWGN channels under covert constraints
Some Generalizations of the Capacity Theorem for AWGN Channels
Fuchsian codes with arbitrarily high code rate
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