New Combinatorial Construction Techniques for Low-Density Parity-Check Codes and Systematic Repeat-Accumulate Codes
Information Theory
2018-07-03 v2 Discrete Mathematics
Combinatorics
math.IT
Abstract
This paper presents several new construction techniques for low-density parity-check (LDPC) and systematic repeat-accumulate (RA) codes. Based on specific classes of combinatorial designs, the improved code design focuses on high-rate structured codes with constant column weights 3 and higher. The proposed codes are efficiently encodable and exhibit good structural properties. Experimental results on decoding performance with the sum-product algorithm show that the novel codes offer substantial practical application potential, for instance, in high-speed applications in magnetic recording and optical communications channels.
Cite
@article{arxiv.1203.6566,
title = {New Combinatorial Construction Techniques for Low-Density Parity-Check Codes and Systematic Repeat-Accumulate Codes},
author = {Alexander Gruner and Michael Huber},
journal= {arXiv preprint arXiv:1203.6566},
year = {2018}
}
Comments
10 pages; to appear in "IEEE Transactions on Communications"