English

Growth Rate of the Weight Distribution of Doubly-Generalized LDPC Codes: General Case and Efficient Evaluation

Information Theory 2016-11-18 v1 math.IT

Abstract

The growth rate of the weight distribution of irregular doubly-generalized LDPC (D-GLDPC) codes is developed and in the process, a new efficient numerical technique for its evaluation is presented. The solution involves simultaneous solution of a 4 x 4 system of polynomial equations. This represents the first efficient numerical technique for exact evaluation of the growth rate, even for LDPC codes. The technique is applied to two example D-GLDPC code ensembles.

Keywords

Cite

@article{arxiv.0907.4885,
  title  = {Growth Rate of the Weight Distribution of Doubly-Generalized LDPC Codes: General Case and Efficient Evaluation},
  author = {Mark F. Flanagan and Enrico Paolini and Marco Chiani and Marc P. C. Fossorier},
  journal= {arXiv preprint arXiv:0907.4885},
  year   = {2016}
}

Comments

6 pages, 1 figure. Proc. IEEE Globecom 2009, Hawaii, USA, November 30 - December 4, 2009