Abstract
We introduce a combinatorial construction of regular low-density parity check codes based on balanced incomplete block designs whose bipartite graphs have girth six. Our construction employs a special type of anti-Pasch affine geometries that result in codes having minimum distance at least six. In this paper we are primarily concerned with very high-rate codes and low column weights, but the proposed construction can be used to generate long codes as well as codes of arbitrary column weight.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1332-1336 |
| Number of pages | 5 |
| Journal | IEEE International Conference on Communications |
| Volume | 3 |
| State | Published - 2002 |
| Event | 2002 International Conference on Communications (ICC 2002) - New York, NY, United States Duration: Apr 28 2002 → May 2 2002 |
ASJC Scopus subject areas
- Computer Networks and Communications
- Electrical and Electronic Engineering