P-Adic LDPC Codes at Precision kP-ADIC LDPC CODES AT PRECISION kD. K. Waweru et al.—sEditorial

被引：0

作者：

Daniel Kariuki Waweru ^{[1
]}

Fengfan Yang ^{[2
]}

Chunli Zhao ^{[1
]}

Lawrence Muthama Paul ^{[1
]}

机构：

[1] Nanjing University of Aeronautics and Astronautics,Department of Communication and Information Engineering

[2] Egerton University,Department of Mathematics

来源：

Wireless Personal Communications | 2024年 / 139卷 / 2期

关键词：

Non-binary LDPC Codes; Hensel’s lemma; -th power transform; Multistage Iterative Decoder;

D O I：

10.1007/s11277-024-11667-2

中图分类号：

学科分类号：

摘要：

In this paper, we propose the construction of p-adic LDPC codes and develop a multi-stage decoding algorithm for these codes. The novel type of non-binary error-correcting codes operates over the p-adic integers. We evaluate the error performance of these codes through simulations and compare them with existing nonbinary LDPC and Reed-Solomon codes of the same rates. Our results show that p-adic LDPC codes achieve better error performance than the existing codes. Moreover, we demonstrate the potential use of p-adic LDPC codes in byte error correction by treating each byte as an element in the p-adic integers at a chosen precision level. The p-adic LDPC codes can be designed and optimized for specific applications that require byte error correction, with the flexibility to vary the byte under different precision levels.

引用

页码：1269 / 1283

页数：14