On the Second Descent Points for the KError Linear Complexity of 2(n)Periodic Binary Sequences
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Authors
Zhou, J.
Wang, X.
Liu, WanQuan
Date
2016Type
Conference Paper
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Zhou, J. and Wang, X. and Liu, W. 2016. On the Second Descent Points for the KError Linear Complexity of 2(n)Periodic Binary Sequences, International Conference on Communications, Information Management and Network Security (CIMNS), pp. 311314.
Source Title
PROCEEDINGS OF THE 2016 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, INFORMATION MANAGEMENT AND NETWORK SECURITY
Source Conference
International Conference on Communications, Information Management and Network Security (CIMNS)
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Department of Computing
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Abstract
In this paper, a constructive approach for determining CELCS (critical error linear complexity spectrum) for the kerror linear complexity distribution of 2n periodic binary sequences is developed via the sieve method and GamesChan algorithm. Accordingly, the second descent point (critical point) distribution of the kerror linear complexity for 2n periodic binary sequences is characterized. As a by product, it is proved that the maximum kerror linear complexity is 2n (2l 1) over all 2n periodic binary sequences, where 2l1<=k < 2l and l < n. With these results, some work by Niu et al. are proved to be incorrect.
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