ChinaCom2008-Information and Coding Theory Symposium

Research Article

Constructing Linear Codes with Good Joint Spectra

  • @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},
  • Shengtian Yang
    Yan Chen
    Thomas Honold
    Zhaoyang Zhang
    Peiliang Qiu
    Year: 2008
    Constructing Linear Codes with Good Joint Spectra
    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:,,,,


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.