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    Structure analysis on the k-error linear complexity for 2n-periodic binary sequences

    Access Status
    Fulltext not available
    Authors
    Zhou, J.
    Liu, Wan-Quan
    Wang, X.
    Date
    2017
    Type
    Journal Article
    
    Metadata
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    Citation
    Zhou, J. and Liu, W. and Wang, X. 2017. Structure analysis on the k-error linear complexity for 2n-periodic binary sequences. Journal of Industrial and management optimization. 13 (4): pp. 1743-1757.
    Source Title
    Journal of Industrial and management optimization
    DOI
    10.3934/jimo.2017016
    ISSN
    1547-5816
    School
    Department of Computing
    URI
    http://hdl.handle.net/20.500.11937/57927
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, in order to characterize the critical error linear complexity spectrum (CELCS) for 2 n -periodic binary sequences, we first propose a decomposition based on the cube theory. Based on the proposed k-error cube decomposition, and the famous inclusion-exclusion principle, we obtain the complete characterization of the ith descent point (critical point) of the k-error linear complexity for i = 2; 3. In fact, the proposed constructive approach has the potential to be used for constructing 2 n -periodic binary sequences with the given linear complexity and k-error linear complexity (or CELCS), which is a challenging problem to be deserved for further investigation in future.

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