Constructing Linear Codes with Good Joint Spectra
Abstract
The problem of finding good linear codes for joint source-channel coding (JSCC) is investigated in this paper. By the code-spectrum approach, it has been proved in the authors' previous paper that a good linear code for the authors' JSCC scheme is a code with a good joint spectrum, so the main task in this paper is to construct linear codes with good joint spectra. First, the code-spectrum approach is developed further to facilitate the calculation of spectra. Second, some general principles for constructing good linear codes are presented. Finally, we propose an explicit construction of linear codes with good joint spectra based on low density parity check (LDPC) codes and low density generator matrix (LDGM) codes.
Cite
@article{arxiv.0802.1555,
title = {Constructing Linear Codes with Good Joint Spectra},
author = {Shengtian Yang and Yan Chen and Thomas Honold and Zhaoyang Zhang and Peiliang Qiu},
journal= {arXiv preprint arXiv:0802.1555},
year = {2008}
}
Comments
6 pages, 1 figure, to appear in Proc. ChinaCom 2008