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On the Linear Complexity of Generalised Legendre/Jacobi Sequences

HU Yu pu,WEI Shi min,Xiao Guo zhen(ISN National Key Lab.,Information Security Institute,Xidian University,Xi'an 710071,China)  
This article discusses the linear complexities of generalised Legendre sequences and two classes of generalised Jacobi sequences.For generalised Legendre sequences,linear complexities are given for r t=3 and 4,with part results for r t=8 and r t=r ,a general prime.For the first class of generalised Jacobi sequences,linear complexities are gien for r t=2,3,4 ,with part results for r t=8 .For the second class of generalised Jacobi sequences,linear complexities are given for r t=2,3, with part results for r t =r and a lower bound of linear complexities for r t=4 .
【Fund】: 陕西省自然科学基金!(No .99x0 6)
【CateGory Index】: TN918.1
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