On the High-Rate FDPC Codes: Construction, Encoding, and a Generalization
Information Theory
2025-06-16 v1 math.IT
Abstract
Recently introduced Fair-Density Parity-Check (FDPC) codes, targeting high-rate applications, offer superior error-correction performance (ECP) compared to 5G Low-Density Parity-Check (LDPC) codes, given the same number of message-passing decoding iterations. In this paper, we present a novel construction method for FDPC codes, introduce a generalization of these codes, and propose a low-complexity encoding algorithm. Numerical results demonstrate the fast convergence of the message-passing decoder for FDPC codes.
Cite
@article{arxiv.2506.11345,
title = {On the High-Rate FDPC Codes: Construction, Encoding, and a Generalization},
author = {Mohsen Moradi and Sheida Rabeti and Hessam Mahdavifar},
journal= {arXiv preprint arXiv:2506.11345},
year = {2025}
}