An application of a qd-type discrete hungry Lotka-Volterra equation over finite fields to a decoding problem

被引：1

作者：

Pan, Yan ^{[1
]}

Chang, Xiang-Ke ^{[2
,3
]}

Hu, Xing-Biao ^{[2
,3
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang, Jiangxi, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, POB 2719, Beijing 100190, Peoples R China

[3] Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China

来源：

STUDIES IN APPLIED MATHEMATICS | 2023年 / 151卷 / 02期

基金：

中国国家自然科学基金;

关键词：

BCH-Goppa decoding; discrete hungry Lotka-Volterra equation; moment problem; SHANKS TRANSFORMATION; ALGORITHM; CONVERGENCE;

D O I：

10.1111/sapm.12584

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the decoding problem for multiple Bose-Chaudhuri-Hocquenghem (BCH)-Goppa codes over the same finite field is investigated. A new iterative decoding algorithm is proposed based on the quotient difference (qd)-type discrete hungry Lotka-Volterra equation over finite fields. Compared with certain existing algorithms, the proposed algorithm manifests its advantage in computational complexity. A few of examples are presented to demonstrate its efficiency.

引用

页码：450 / 474

页数：25