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| new results on periodic sequences with large k-error linear complexity | |
| Hu Honggang; Gong Guang; Feng Dengguo | |
| 2009 | |
| Conference Name | 16th IEEE International Symposium on Personal Indoor and Mobile Radio Communications (PIMRC 05) |
| Source | IEEE International Symposium on Information Theory - Proceedings |
| Pages | 4687-4694 |
| Conference Date | SEP 11-14, |
| Conference Place | Berlin, GERMANY |
| Indexed Type | sci,istp,ei,acm,ieee |
| Publish Place | 445 HOES LANE, PISCATAWAY, NJ 08855 USA |
| Publisher | IEEE TRANSACTIONS ON INFORMATION THEORY |
| ISSN | 0018-9448 |
| ISBN | 9781424422579 |
| Department | 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. |
| English Abstract | 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. |
| Keyword | Correlation Cyclotomy Entropy Function K-error Linear Complexity Linear Complexity Periodic Sequence |
| Sponsorship | IEEE |
| Language | 英语 |
| WOS ID | WOS:000269839000025 |
| Citation statistics | |
| Content Type | 会议论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/8182 |
| Collection | 信息安全国家重点实验室 |
| Recommended Citation GB/T 7714 | Hu Honggang,Gong Guang,Feng Dengguo. new results on periodic sequences with large k-error linear complexity[C]. 445 HOES LANE, PISCATAWAY, NJ 08855 USA:IEEE TRANSACTIONS ON INFORMATION THEORY,2009:4687-4694. |
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