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

doi:10.1088/1751-8121/ab5f89

	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
刊名	Journal of Physics A: Mathematical and Theoretical
	2020-01-08
卷号	53 期号:5
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	Abstract 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.
语种	英语
出版者	IOP Publishing
WOS记录号	IOP:1751-8113-53-5-AB5F89
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50303]
专题	中国科学院数学与系统科学研究院
作者单位	1.LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, PO Box 2719, Beijing 100190, People’s Republic of China 2.School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of 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).
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).
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).