Bounds on the Pseudo-Weight of Minimal Pseudo-Codewords of Projective Geometry Codes
Information Theory
2007-07-13 v1 Discrete Mathematics
math.IT
Abstract
In this paper we focus our attention on a family of finite geometry codes, called type-I projective geometry low-density parity-check (PG-LDPC) codes, that are constructed based on the projective planes PG{2,q). In particular, we study their minimal codewords and pseudo-codewords, as it is known that these vectors characterize completely the code performance under maximum-likelihood decoding and linear programming decoding, respectively. The main results of this paper consist of upper and lower bounds on the pseudo-weight of the minimal pseudo-codewords of type-I PG-LDPC codes.
Keywords
Cite
@article{arxiv.cs/0510049,
title = {Bounds on the Pseudo-Weight of Minimal Pseudo-Codewords of Projective Geometry Codes},
author = {Roxana Smarandache and Marcel Wauer},
journal= {arXiv preprint arXiv:cs/0510049},
year = {2007}
}
Comments
12 pages 1 figure, submitted