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Research on k-Error Linear Complexity of Periodic Binary Sequences

Author: JiangGuangFeng
Tutor: ZhuShiXin
School: Hefei University of Technology
Course: Applied Mathematics
Keywords: Binary periodic sequence Linear complexity k-error linear complexity Expectations Hops
CLC: TN918.2
Type: Master's thesis
Year: 2008
Downloads: 64
Quote: 0
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Abstract


With the arrival of the information age , information security is increasingly important. How to encrypt or decrypt , are becoming many experts and scholars research hotspot. Therefore, as an important indicator of password security strength of linear complexity and k- error linear complexity , more and more attention . Its core idea is to study how to use the least progression feedback shift register to generate the required key sequence or generate the required key sequence very similar sequences. For different ranges , different cycle sequences , and found that the linear complexity and k-error linear complexity of a sequence key security assessment, plays a vital role . Because now commonly used key sequence , mostly binary sequence . Therefore, the study F 2 binary periodic sequence on the linear complexity and k-error linear complexity , it becomes particularly important. In order to compare binary periodic sequence deeply carved k-error linear complexity characteristics , this paper presents a binary periodic sequence k-error linear complexity expectations calculate more precise boundaries of such sequence 2 - wrong with a 3 - error linear complexity of expectations E 2 , E 3 , given two special binary periodic sequence of k- error linear complexity calculation results , and also calculated the partial binary periodic sequence of k-error linear complexity hops k i = W (sum from e = m to lm (1 x) 2 e -1 ), and the corresponding k i - error linear complexity LC ki (S) = 2 n -2 ml i 1 (0 ≤ i ≤ Mm)

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CLC: > Industrial Technology > Radio electronics, telecommunications technology > Communicate > Confidentiality of communications and communications security > Password, machine
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