Period-Different m-Sequences With at Most Four-Valued Cross Correlation
文献类型：期刊论文
| 作者 | Helleseth, Tor1; Hu, Lei2,3; Kholosha, Alexander1; Zeng, Xiangyong4; Li, Nian4; Jiang, Wenfeng3 |
| 刊名 | IEEE TRANSACTIONS ON INFORMATION THEORY
 |
| 出版日期 | 2009-07-01 |
| 卷号 | 55期号:7页码:3305-3311 |
| 关键词 | Cross correlation m-sequence quadratic form |
| ISSN号 | 0018-9448 |
| DOI | 10.1109/TIT.2009.2021312 |
| 英文摘要 | This paper follows the recent work of Helleseth, Kholosha, Johansen, and Ness to study the cross correlation between an m.-sequence of period 2(m) - 1 and the d-decimation of an in-sequence of a shorter period 2(n) - 1 for an even number m = 2n. Assuming that d satisfies d(2(l) + 1) = 2(i) (mod 2(n) - 1) for some l > 0 and i >= 0, it is proved that the cross correlation takes on either exactly three or four values depending on whether l and n are coprime or not. The distribution of the cross-correlation values is also completely determined. Our results theoretically confirm the numerical data by Ness and Helleseth. It is conjectured that there are no other decimations that give at most four-valued cross correlation apart from the ones proved here. |
| 资助项目 | National Science Foundation of China (NSFC)[60573053] ; National Science Foundation of China (NSFC)[60773134] ; NSFC[60603012] |
| WOS研究方向 | Computer Science ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000267222000026 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8635]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Helleseth, Tor |
| 作者单位 | 1.Univ Bergen, Dept Informat, N-5020 Bergen, Norway 2.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Grad Univ, State Key Lab Informat Secur, Beijing 100049, Peoples R China 4.Hubei Univ, Fac Math & Comp Sci, Wuhan 430062, Peoples R China |
| 推荐引用方式 GB/T 7714 | Helleseth, Tor,Hu, Lei,Kholosha, Alexander,et al. Period-Different m-Sequences With at Most Four-Valued Cross Correlation[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2009,55(7):3305-3311. |
| APA | Helleseth, Tor,Hu, Lei,Kholosha, Alexander,Zeng, Xiangyong,Li, Nian,&Jiang, Wenfeng.(2009).Period-Different m-Sequences With at Most Four-Valued Cross Correlation.IEEE TRANSACTIONS ON INFORMATION THEORY,55(7),3305-3311. |
| MLA | Helleseth, Tor,et al."Period-Different m-Sequences With at Most Four-Valued Cross Correlation".IEEE TRANSACTIONS ON INFORMATION THEORY 55.7(2009):3305-3311. |
入库方式： OAI收割
来源：数学与系统科学研究院
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