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Stability analysis of the linear complexity of periodic sequences

Author: ZhaoYaoDong
Tutor: QiWenFeng
School: PLA Information Engineering University
Course: Cryptography
Keywords: Stream Cipher Linear complexity k- error linear complexity Remove bits Add bits
CLC: TN918.1
Type: Master's thesis
Year: 2004
Downloads: 90
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Abstract


The stability of the linear complexity of sequences is an important criterion to measure the key sequence pseudo-random nature . k - error linear complexity is reflected in the linear complexity of sequences important indicator of stability . Set ( ? ) Periodic sequence , denoted LC ( ( ? ) ) And LC k ((?)) ( ? ) Linear complexity and k - error linear complexity . Hutchison err 1 ((?)) To the LC k ((?)) 2 ((?)) for a minimum of t such that the LC t < / sub> ( ( ? ) ) < LC r < / sub > ( ( ? ) ) , where r = err 1 ((?)). For a period of 2 \- error linear complexity , and focus scored err 2 ((?)). Secondly, the paper also studied the linear complexity of the sequence obtained by the binary periodic sequence to add or delete a bit . Specific form of polynomial discussion cycle sequence features , the upper and lower bounds of the linear complexity of sequences .

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