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Joint linear complexity of binary periodic multi-sequences and its generalized bit-wise negative sequences over F2
F2上周期多序列及其广义对偶多序列的复杂性分析*

Keywords: joint linear complexity,joint weight complexity,generalized duality multi-sequences,minimum polynomial
联合线性复杂度
,联合重量复杂度,广义对偶多序列,极小多项式

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Abstract:

Joint linear complexity is an important measurement index to the strength of periodic multi-sequences. Under the close relationship between the binary periodic multi-sequences and its bit-wise negative periodic multi-sequences, this paper proposed the definition of binary periodic generalized duality multi-sequences, and discussed the relationship about the joint linear complexity between them.At the same time, defined joint weight complexity of binary periodic multi-sequences, and gave the relationship of joint weight complexity.

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