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New LDPC Codes Using Permutation Matrices with Higher Girth than QC-LDPC Codes Constructed by Fossorier

Information Theory 2016-11-25 v3 Discrete Mathematics Combinatorics math.IT

Abstract

In the literatures, it is well-known that Fossorier code has the girth among LDPC codes. In this paper, we introduce a new class of low-density parity-check (LDPC) codes, with higher girth than other previous constructed codes. Especially we proposed a new method to construct LDPC codes using non fixed shift permutation matrices and full based matrices with higher girth than codes constructed by Fossorier.

Keywords

Cite

@article{arxiv.1402.1614,
  title  = {New LDPC Codes Using Permutation Matrices with Higher Girth than QC-LDPC Codes Constructed by Fossorier},
  author = {Mehdi samadieh and Mohammad Gholami},
  journal= {arXiv preprint arXiv:1402.1614},
  year   = {2016}
}

Comments

This paper has been withdrawn by the authors. Some conclusions in the submitted paper are wrong and the authors decided to withdraw the paper

R2 v1 2026-06-22T03:03:28.649Z