KMS Of Academy of mathematics and systems sciences, CAS
Decoding algorithm as a moment problem related to the extended Lotka–Volterra system | |
Pan,Yan1,2; Chang,Xiang-Ke1,2; Hu,Xing-Biao1,2 | |
2020-01-08 | |
发表期刊 | Journal of Physics A: Mathematical and Theoretical |
ISSN | 1751-8113 |
卷号 | 53期号:5 |
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. |
关键词 | BCH-Goppa code extended Lotka–Volterra lattice moment problem |
DOI | 10.1088/1751-8121/ab5f89 |
语种 | 英语 |
WOS记录号 | IOP:1751-8113-53-5-ab5f89 |
出版者 | IOP Publishing |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/50304 |
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). |
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