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题名:
new results on periodic sequences with large k-error linear complexity
作者: Hu Honggang ; Gong Guang ; Feng Dengguo
会议文集: IEEE International Symposium on Information Theory - Proceedings
会议名称: 16th IEEE International Symposium on Personal Indoor and Mobile Radio Communications (PIMRC 05)
会议日期: SEP 11-14,
出版日期: 2009
会议地点: Berlin, GERMANY
关键词: correlation ; cyclotomy ; entropy function ; k-error linear complexity ; linear complexity ; periodic sequence
出版者: IEEE TRANSACTIONS ON INFORMATION THEORY
出版地: 445 HOES LANE, PISCATAWAY, NJ 08855 USA
收录类别: sci,istp,ei,acm,ieee
ISSN: 0018-9448
ISBN: 9781424422579
部门归属: Hu, Honggang; Feng, Dengguo Chinese Acad Sci, Inst Software, State Key Lab Informat Secur, Beijing 100080, Peoples R China. Hu, Honggang; Gong, Guang Univ Waterloo, Dept Elect & Comp Engn, Waterloo, ON N2L 3G1, Canada.
主办者: IEEE
英文摘要: Niederreiter showed that there is a class of periodic sequences which possess large linear complexity and large k-error linear complexity simultaneously. This result disproved the conjecture that there exists a trade-off between the linear complexity and the k-error linear complexity of a periodic sequence by Ding et al. By considering the orders of the divisors of x(N)-1 over F-q, we obtain three main results which hold for much larger k than those of Niederreiter et al.: a) sequences with maximal linear complexity and almost maximal k-error linear complexity with general periods; b) sequences with maximal linear complexity and maximal k-error linear complexity with special periods; c) sequences with maximal linear complexity and almost maximal k-error linear complexity in the asymptotic case with composite periods. Besides, we also construct some periodic sequences with low correlation and large k-error linear complexity.
语种: 英语
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内容类型: 会议论文
URI标识: http://ir.iscas.ac.cn/handle/311060/8182
Appears in Collections:信息安全国家重点实验室_会议论文

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Recommended Citation:
Hu Honggang,Gong Guang,Feng Dengguo. new results on periodic sequences with large k-error linear complexity[C]. 见:16th IEEE International Symposium on Personal Indoor and Mobile Radio Communications (PIMRC 05). Berlin, GERMANY. SEP 11-14,.
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