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Problems on Joint Linear Complexity of Multisequences

Author: LiXuHong
Tutor: ChangZuLing
School: Zhengzhou University
Course: Applied Mathematics
Keywords: the order of q modulo n The polynomial prime factor decomposition Multiple sequence Joint Linear Complexity
CLC: TN918
Type: Master's thesis
Year: 2008
Downloads: 5
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Abstract


Sequence of linear complexity is one of the important indicators to measure stream cipher system security . Joint linear complexity of multiple sequence caused widespread concern in recent years, with the study of the the vector stream cipher system , in this paper , we first given polynomial x ~ n-1 in the limited domain F_q on prime factorization number of times due to type and then , as an entry point to study the multiple sequence by linear recursive sequence of joint linear complexity , minimal polynomial first as the criterion , given the multiple sequence count results that correspond to the same minimal polynomial number of multiple sequence then , for the determination of the line sexual complexity , given the general formula for the calculation of multiple sequence number . Finally , determine the expectation and variance of the joint linear complexity of any finite field cycle sequence for the results achieved using this article with the previous completely different ideas and methods we establish the relationship between the sequence of polynomials, with a collection of established correspondence between the sequence of collection and the collection count on sequence of the results of the counting problems .

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