Weight and Stopping Set Distributions of Two-Edge Type LDPC Code Ensembles

  • Authors:
  • Ryoji Ikegaya;Kenta Kasai;Yuji Shimoyama;Tomoharu Shibuya;Kohichi Sakaniwa

  • Affiliations:
  • The authors are with the Dept. of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo, 152-8552 Japan. E-mail: ryoji@comm.ss.titech.ac.jpx,;The authors are with the Dept. of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo, 152-8552 Japan. E-mail: ryoji@comm.ss.titech.ac.jpx,;The authors are with the Dept. of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo, 152-8552 Japan. E-mail: ryoji@comm.ss.titech.ac.jpx,;The author is with R & D Department, National Institute of Multimedia Education, Chiba-shi, 261-0014 Japan.;The authors are with the Dept. of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo, 152-8552 Japan. E-mail: ryoji@comm.ss.titech.ac.jpx,

  • Venue:
  • IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
  • Year:
  • 2005

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Abstract

In this paper, we explicitly formulate the average weight and the stopping set distributions and their asymptotic exponents of two-edge type LDPC code ensembles. We also show some characteristics such as the symmetry and the conditions for zero of the weight distributions of two code ensembles. Further we investigate the relation between two code ensembles from the perspectives of the weight and stopping set distributions.