Floor Scale Modulo Lifting for QC-LDPC codes
Information Theory
2017-02-07 v2 math.IT
Abstract
In the given paper we present a novel approach for constructing a QC-LDPC code of smaller length by lifting a given QC-LDPC code. The proposed method can be considered as a generalization of floor lifting. Also we prove several probabilistic statements concerning a theoretical improvement of the method with respect to the number of small cycles. Making some offline calculation of scale parameter it is possible to construct a sequence of QC-LDPC codes with different circulant sizes generated from a single exponent matrix using only floor and scale operations. The only parameter we store in memory is a constant needed for scaling.
Cite
@article{arxiv.1701.07521,
title = {Floor Scale Modulo Lifting for QC-LDPC codes},
author = {Nikita Polyanskii and Vasiliy Usatyuk and Ilya Vorobyev},
journal= {arXiv preprint arXiv:1701.07521},
year = {2017}
}
Comments
7 pages, 2 columns