Product Construction of Affine Codes
Information Theory
2015-06-12 v1 Discrete Mathematics
math.IT
Abstract
Binary matrix codes with restricted row and column weights are a desirable method of coded modulation for power line communication. In this work, we construct such matrix codes that are obtained as products of affine codes - cosets of binary linear codes. Additionally, the constructions have the property that they are systematic. Subsequently, we generalize our construction to irregular product of affine codes, where the component codes are affine codes of different rates.
Keywords
Cite
@article{arxiv.1506.03724,
title = {Product Construction of Affine Codes},
author = {Yeow Meng Chee and Han Mao Kiah and Punarbasu Purkayastha and Patrick Solé},
journal= {arXiv preprint arXiv:1506.03724},
year = {2015}
}
Comments
13 pages, to appear in SIAM Journal on Discrete Mathematics