Decoding algorithm as a moment problem related to the extended Lotka-Volterra system

doi:10.1088/1751-8121/ab5f89

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	Decoding algorithm as a moment problem related to the extended Lotka-Volterra system
	Pan, Yan 1,2; Chang, Xiang-Ke 1,2; Hu, Xing-Biao 1,2
	2020-02-07
发表期刊	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
ISSN	1751-8113
卷号	53 期号:5 页码:28
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.
关键词	BCH-Goppa code extended Lotka-Volterra lattice moment problem
DOI	10.1088/1751-8121/ab5f89
收录类别	SCI
语种	英语
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
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000519001700001
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50944
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.