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| On the (p−1)/2-error Linear Complexity of Generalized Cyclotomic Sequence with Length pm |
| Liu Long-fei① Yang Xiao-yuan①② Chen Hai-bin① |
①(Key Laboratory of Network & Information Security of Armed Police Force, Engineering University of Armed Police Force, Xi’an 710086, China)
②(Key Laboratory of Computer Network & Information Security of the Ministry of Education, Xidian University, Xi’an 710071, China) |
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Abstract The generalized cyclotomic sequences with length pm has high linear complexity. In this paper, a class of error generalized cyclotomic sequences is constructed by changing the characteristic sets of the above sequences. The results show that the (p−1)/2-error linear complexity of generalized cyclotomic sequences do not exceed pm−1, which are much less than its (zero-error) linear complexity. Thus, it is not secure enough to be used in the stream cipher system.
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Received: 02 July 2012
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Corresponding Authors:
Liu Long-fei
E-mail: ya_zhou_521@163.com
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2013, Vol. 35 
