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An analysis of parallel pseudo-random sequences

Ben Zhaorong Xiao Guozhen  
The result of R.S. Safavi-Naini is generalized.It is proved that exponent sequences overany finite fields with equal order have the same property.The period and linearcomplexity ofeach component sequences is analysed,and the upper bound 2 ̄n -2 ̄(n-n+1)-1 of the correlationfunction value of each component sequence is obtained. From the distribution of their correla-tion value , it can be deduced that the exponent sequenceis not a good sequence in cryptology.
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