Mathematical Programming Decoding of Binary Linear Codes: Theory and Algorithms
Information Theory
2014-04-29 v4 math.IT
Abstract
Mathematical programming is a branch of applied mathematics and has recently been used to derive new decoding approaches, challenging established but often heuristic algorithms based on iterative message passing. Concepts from mathematical programming used in the context of decoding include linear, integer, and nonlinear programming, network flows, notions of duality as well as matroid and polyhedral theory. This survey article reviews and categorizes decoding methods based on mathematical programming approaches for binary linear codes over binary-input memoryless symmetric channels.
Cite
@article{arxiv.1107.3715,
title = {Mathematical Programming Decoding of Binary Linear Codes: Theory and Algorithms},
author = {Michael Helmling and Stefan Ruzika and Akin Tanatmis},
journal= {arXiv preprint arXiv:1107.3715},
year = {2014}
}
Comments
17 pages, submitted to the IEEE Transactions on Information Theory. Published July 2012