Line codes generated by finite Coxeter groups
Information Theory
2017-07-28 v1 math.IT
Abstract
Using an algebraic approach based on the theory of Coxeter groups, we design, and describe the performance of, a class of line codes for parallel transmission of bits over wires that admit especially simple encoding and decoding algorithms. A number of designs are exhibited, some of them being novel or improving on previously obtained codes.
Keywords
Cite
@article{arxiv.1707.08932,
title = {Line codes generated by finite Coxeter groups},
author = {Ezio Biglieri and Emanuele Viterbo},
journal= {arXiv preprint arXiv:1707.08932},
year = {2017}
}
Comments
19 pages, 10 figures