On the High-Rate FDPC Codes: Construction, Encoding, and a Generalization

2025/06/12 by Mohsen Moradi, Moradi, Mohsen, Sheida Rabeti +3 · 1 citation
Computer Science · Engineering · #Advanced Wireless Communication Techniques #Coding theory and cryptography #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT)

paper · pdf · doi:10.48550/arxiv.2506.11345

openalex publication_date 2025/06/12 · openalex created_date 2025/10/11 · openalex updated_date 2026/07/28

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.

Citations

• High-Rate Fair-Density Parity-Check Codes
• Polarization-Adjusted Convolutional (PAC) Codes as a Concatenation of Inner Cyclic and Outer Polar- and Reed-Muller-like Codes
• On the Road to 6G: Visions, Requirements, Key Technologies and Testbeds
• On the Road to 6G: Visions, Requirements, Key Technologies, and Testbeds
• Quasi-Cyclic LDPC Codes based on Pre-Lifted Protographs
• List Decoding of Polar Codes
• Deriving Good LDPC Convolutional Codes from LDPC Block Codes
• Channel polarization: A method for constructing capacity-achieving codes for symmetric binary-input memoryless channels

Cited by

• Layered Normalized Min-Sum Decoding with Bit Flipping for FDPC Codes

Related

• High-Rate Fair-Density Parity-Check Codes
• Layered Normalized Min-Sum Decoding with Bit Flipping for FDPC Codes
• Moderate-Density Parity-Check Codes
• Low-Density Parity-Check Code with Fast Decoding Speed
• Generalized LDPC codes with low-complexity decoding and fast convergence