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周期為N=n2v的序列線性復(fù)雜度的快速算法

蔡勉,  王宏,  肖國鎮(zhèn)

蔡勉, 王宏, 肖國鎮(zhèn). 周期為N=n2v的序列線性復(fù)雜度的快速算法[J]. 電子與信息學(xué)報(bào), 2002, 24(3): 370-376.
引用本文: 蔡勉, 王宏, 肖國鎮(zhèn). 周期為N=n2v的序列線性復(fù)雜度的快速算法[J]. 電子與信息學(xué)報(bào), 2002, 24(3): 370-376.
Cai Mian, Wang Hong, Xiao Guozhen. A fast algorithm for determing the linear complexity of a pseudo-random sequence with periodic n2v[J]. Journal of Electronics & Information Technology, 2002, 24(3): 370-376.
Citation: Cai Mian, Wang Hong, Xiao Guozhen. A fast algorithm for determing the linear complexity of a pseudo-random sequence with periodic n2v[J]. Journal of Electronics & Information Technology, 2002, 24(3): 370-376.

周期為N=n2v的序列線性復(fù)雜度的快速算法

A fast algorithm for determing the linear complexity of a pseudo-random sequence with periodic n2v

  • 摘要: 文中利用廣義離散傅里葉變換對(duì)GF(2)上周期為N=n2v(gcd(n,2)=1)序列進(jìn)行了研究,給出了求周期為N=n2v的序列線性復(fù)雜度的快速算法,并得到了關(guān)于GF(2)上多項(xiàng)式的Hasse導(dǎo)數(shù)的一些新結(jié)果。
    Abstract: A generalized discrete Fourier transfom is used to give a fast algorithm for determing the linear complexity of a pseudo-random sequence with periodic n2v, and a new conclusion of Hasse derivatives of polynoimial on GF(2) are proposed.
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  • R.A.Games,A.H.Chan,A fast algorithm for determining the complexity of a binary sequence with period 2n,IEEE Tans.on Inform.Theory,1983,29(3),144-146.[2]K.Imamura,T.Moriuchi,A fast algorithm for determining the linear complexity ofp-ary sequence with period pn,p a prime,IEICE Tech.Rep,1993,in Japanese,75(1),73-78.[3]J.L.Massey,S.Serconek,Linear complexity of periodic sequencs,A general theory,Advances in Cryptology-CRYPTO96,USA,1996,358-371.[4]C.Ding,G.Xiao,W.Shah,The Stability of Stream Ciphers,Lecture Notes in Computer Science,Spinger-Verlag,1991,Ch.5,81-129.[5]S.R.Blackburn,A generalisation of the discrete Fourier transfrom: determining the minimal polynomial of a periodic,IEEE Trans.on Info.Theory,1994,40(5),1702-1705.
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出版歷程
  • 收稿日期:  2000-09-01
  • 修回日期:  2001-04-19
  • 刊出日期:  2002-03-19

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