Joint Error Linear Complexity of pn-Periodic Multisequences Over Fp

Ming Su

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Joint Error Linear Complexity of pn-Periodic Multisequences Over Fp

Ming Su * #

Department of Computer Science,Nankai University, TianJin 300071

*Correspondence author

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Funding: Basic research funding of centralUniversities of China （No.07565010211）, National Natural ScienceFoundation of China （No.No. 61003070）, Supported by Ph. D. Programs Foundation of Ministry of Educationof China（No.Specialized Research Fund for the Doctoral Program ofHigher Education 200800551005）

Opened online: 6 December 2011

Accepted by: none

Citation: Ming Su.Joint Error Linear Complexity of pn-Periodic Multisequences Over Fp[OL]. [ 6 December 2011] http://en.paper.edu.cn/en_releasepaper/content/4452389

Recent developments in stream ciphers point towards aninterest in vectorized stream ciphers. According to the definitionof the joint linear complexity of multisequence, we extend it to thejoint error linear complexity of multisequence to study thestability of multisequences. We investigate the counting functionsof the joint error linear complexity of t-multiple 2n and pn-periodic multisequences with a few term errors in each singlesequence. Moreover, we propose efficient algorithms for computingthe joint error linear complexity of these kinds of multisequences,as well as the algorithms for determining all the error vectors thatgive the joint error linear complexity. Being familiar with thedistribution and having the efficient algorithms for computing thejoint error linear complexity, we can choose the parameters of t -multiple multisequence of these kinds of multisequences forlarge joint error linear complexity purpose.

Keywords:Information security; Streamcipher; Multisequence; Joint (error) linear complexity; Distribution; Algorithms

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