全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
电子学报  2014 

一类新的周期为pm+1qn+1的二元广义分圆序列的线性复杂度

DOI: 10.3969/j.issn.0372-2112.2014.05.028, PP. 1009-1013

Keywords: 有限域,广义分圆,线性复杂度

Full-Text   Cite this paper   Add to My Lib

Abstract:

提出了一类新的周期为pm+1qn+1,p和q为不同的奇素数,m和n为正整数的广义分圆序列,并计算了该序列的线性复杂度.新构造的序列具有平衡的优点.

References

[1]  Golomb S W,Gong G.Signal Design for Good Correlation:For Wireless Communications,Cryptography and Radar Applications[M].Cambridge University Press,2005.
[2]  Cusick T,Ding C,Renvall A.Stream Ciphers and Number Theory[M].North-Holland Mathematical Library 55,1998.198-212.
[3]  Edemskiy V.About computation of the linear complexity of generalized cyclotomic sequences with period pn+1[J]. Designs Codes and Cryptography,2011,61(3):251-260.
[4]  Ke P H,Zhang J,Zhang S Y.On the linear complexity and the autocorrelation of generalized cyclotomic binary sequences of length 2pm[J].Designs Codes and Cryptography,2012,67(3):325-339.
[5]  Hu L Q,Yue Q,Wang M H.The linear complexity of Whiteman''s generalized cyclotomic sequences of period pm+1qn+1[J].IEEE Transactions on Information Theory,2012,58(8):5534-5542. [LL]
[6]  Yan T,Li S,Xiao G.On the linear complexity of generalized cyclotomic sequences with the period pm[J].Applied Mathematics Letters,2008,21:187-193.
[7]  Ding C,Helleseth T.Generalized cyclotomy and its applications[J].Finite Fields and Their Applications,1999,4:467-474.
[8]  Du X N,Chen Z X.A generalization of the Hall''s sextic residue sequences[J].Information Sciences,2013,222:784-794.
[9]  Ding C,Hellseth T,Shan W.On the linear complexity of Legendre sequences[J].IEEE Transactions on Information Theory,1998,44:1276-1278.
[10]  杜小妮,陈智雄.关于Legendre序列迹表示的注记[J].电子学报,2011,39 (4):869-871. Du Xiaoni,Chen Zhixiong.A note on trace representation of legendre sequences[J].Acta Electronic Sinica,2011,39(4):869-871.(in Chinese)
[11]  刘方,彭代渊,范佳,唐小虎.一类具有最优汉明自相关特性的跳频序列[J].电子学报,2013,41(1):13-17. Liu Fang,Peng Daiyuan,Fan Jia,et al.A new class of frequency-hopping sequences with optimal hamming autocorrelation[J].Acta Electronic Sinica,2013,41(1):13-17.(in Chinese)

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133