## Structure analysis on the k-error linear complexity for 2<sup>n</sup>-periodic binary sequences

dc.contributor.author | Zhou, J. | |

dc.contributor.author | Liu, Wan-Quan | |

dc.contributor.author | Wang, X. | |

dc.date.accessioned | 2017-11-20T08:49:37Z | |

dc.date.available | 2017-11-20T08:49:37Z | |

dc.date.created | 2017-11-20T08:13:33Z | |

dc.date.issued | 2017 | |

dc.identifier.citation | Zhou, J. and Liu, W. and Wang, X. 2017. Structure analysis on the k-error linear complexity for 2<sup>n</sup>-periodic binary sequences. Journal of Industrial and management optimization. 13 (4): pp. 1743-1757. | |

dc.identifier.uri | http://hdl.handle.net/20.500.11937/57927 | |

dc.identifier.doi | 10.3934/jimo.2017016 | |

dc.description.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. | |

dc.publisher | American Institute of Mathematical Sciences | |

dc.title | Structure analysis on the k-error linear complexity for 2<sup>n</sup>-periodic binary sequences | |

dc.type | Journal Article | |

dcterms.source.volume | 13 | |

dcterms.source.number | 4 | |

dcterms.source.startPage | 1743 | |

dcterms.source.endPage | 1757 | |

dcterms.source.issn | 1547-5816 | |

dcterms.source.title | Journal of Industrial and management optimization | |

curtin.department | Department of Computing | |

curtin.accessStatus | Fulltext not available |

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