Constructing Linear Codes with Good Joint Spectra

Shengtian Yang; Yan Chen; Thomas Honold; Zhaoyang Zhang; Peiliang Qiu

ChinaCom2008-Information and Coding Theory Symposium

Research Article

Constructing Linear Codes with Good Joint Spectra

Cite: BibTeX Plain Text

@INPROCEEDINGS{10.1109/CHINACOM.2008.4685175,
    author={Shengtian Yang and Yan Chen and Thomas Honold and Zhaoyang Zhang and Peiliang Qiu},
    title={Constructing Linear Codes with Good Joint Spectra},
    proceedings={ChinaCom2008-Information and Coding Theory Symposium},
    publisher={IEEE},
    proceedings_a={CHINACOM2008-ICT},
    year={2008},
    month={11},
    keywords={},
    doi={10.1109/CHINACOM.2008.4685175}
}

Shengtian Yang
Yan Chen
Thomas Honold
Zhaoyang Zhang
Peiliang Qiu
Year: 2008
Constructing Linear Codes with Good Joint Spectra
CHINACOM2008-ICT
IEEE
DOI: 10.1109/CHINACOM.2008.4685175

Shengtian Yang¹^,*, Yan Chen¹^,*, Thomas Honold¹^,*, Zhaoyang Zhang¹^,*, Peiliang Qiu¹^,*

1: Department of Information Science & Electronic Engineering Zhejiang University Hangzhou, Zhejiang 310027, China

*Contact email: yangshengtian@zju.edu.cn, qiupl418@zju.edu.cn, honold@zju.edu.cn, ning_ming@zju.edu.cn, qiupl@zju.edu.cn

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.

Published: 2008-11-21
Publisher: IEEE
Modified: 2010-05-16

: http://dx.doi.org/10.1109/CHINACOM.2008.4685175