关于非规则双广义LDPC码重量分布的增长速率
信息论
2008-08-27 v1 math.IT
摘要
本文推导了非规则双广义LDPC (D-GLDPC) 码的小线性重量码字数量的渐近增长速率的表达式。该表达式简洁且推广了现有关于LDPC码和广义LDPC (GLDPC) 码的结果。假设存在最小距离为2的校验节点和变量节点，结果表明增长速率仅取决于这些节点。本文强调了这一新结果与BEC上D-GLDPC码稳定性条件之间的重要联系。这种联系先前已在LDPC码和GLDPC码中观察到，现在被推广到D-GLDPC码的情形。
引用
@article{arxiv.0808.3504,
title = {On the Growth Rate of the Weight Distribution of Irregular Doubly-Generalized LDPC Codes},
author = {Mark F. Flanagan and Enrico Paolini and Marco Chiani and Marc Fossorier},
journal= {arXiv preprint arXiv:0808.3504},
year = {2008}
}
备注
10 pages, 1 figure, presented at the 46th Annual Allerton Conference on Communication, Control and Computing (this version includes additional appendix)