Decoding algorithm as a moment problem related to the extended Lotka-Volterra system | |
Pan, Yan1,2; Chang, Xiang-Ke1,2; Hu, Xing-Biao1,2 | |
刊名 | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL |
2020-02-07 | |
卷号 | 53期号:5页码:28 |
关键词 | BCH-Goppa code extended Lotka-Volterra lattice moment problem |
ISSN号 | 1751-8113 |
DOI | 10.1088/1751-8121/ab5f89 |
英文摘要 | The moment problem related to the extended Lotka-Volterra system (sometimes also called the hungry Lotka-Volterra system or the Narita-Itoh-Bogoyavlensky lattice) over finite fields is introduced. It turns out the moment problem could be used to design an algorithm for decoding multiple BCH-Goppa codes over the same finite field simultaneously. When multiple codes have the same error locations, the algorithm requires fewer known syndromes and has lower computational complexity than running the decoding algorithm in Nakamura (1996 Phys. Lett. A 223 75-81) multiple times. |
资助项目 | National Natural Science Foundation of China[11931017] ; National Natural Science Foundation of China[11871336] ; Youth Innovation Promotion Association CAS |
WOS研究方向 | Physics |
语种 | 英语 |
出版者 | IOP PUBLISHING LTD |
WOS记录号 | WOS:000519001700001 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50943] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Chang, Xiang-Ke |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, POB 2719, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | Pan, Yan,Chang, Xiang-Ke,Hu, Xing-Biao. Decoding algorithm as a moment problem related to the extended Lotka-Volterra system[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2020,53(5):28. |
APA | Pan, Yan,Chang, Xiang-Ke,&Hu, Xing-Biao.(2020).Decoding algorithm as a moment problem related to the extended Lotka-Volterra system.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,53(5),28. |
MLA | Pan, Yan,et al."Decoding algorithm as a moment problem related to the extended Lotka-Volterra system".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 53.5(2020):28. |
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