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Linear Complexity Measures of Binary Multisequences

by Sindhu. M, M. Sethumadhavan
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 62 - Number 16
Year of Publication: 2013
Authors: Sindhu. M, M. Sethumadhavan
10.5120/10162-4892

Sindhu. M, M. Sethumadhavan . Linear Complexity Measures of Binary Multisequences. International Journal of Computer Applications. 62, 16 ( January 2013), 6-10. DOI=10.5120/10162-4892

@article{ 10.5120/10162-4892,
author = { Sindhu. M, M. Sethumadhavan },
title = { Linear Complexity Measures of Binary Multisequences },
journal = { International Journal of Computer Applications },
issue_date = { January 2013 },
volume = { 62 },
number = { 16 },
month = { January },
year = { 2013 },
issn = { 0975-8887 },
pages = { 6-10 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume62/number16/10162-4892/ },
doi = { 10.5120/10162-4892 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:11:57.213808+05:30
%A Sindhu. M
%A M. Sethumadhavan
%T Linear Complexity Measures of Binary Multisequences
%J International Journal of Computer Applications
%@ 0975-8887
%V 62
%N 16
%P 6-10
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The joint linear complexity and k - error joint linear complexity of an m fold 2n periodic multisequence can be efficiently computed using Modified Games Chan algorithm and Extended Stamp Martin Algorithm respectively. In this paper we derived an algorithm for finding the joint linear complexity of periodic binary multisequence with the help of Modified Games Chan algorithm. Here we derived the minimum value of k for which k-error joint linear complexity is strictly less than the joint linear complexity of binary m fold multisequences of period 2n and an algorithm which, given a constant c and an m fold 2n periodic binary multisequence S, computes the minimum number k of errors and the associated error multisequence needed over a period of S for bringing the joint linear complexity of S below c .

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Index Terms

Computer Science
Information Sciences

Keywords

Word based stream ciphers multisequences error multisequence joint linear complexity k-error joint linear complexity kmin

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