联合线性复杂度是度量周期多序列强度的一个重要指标。将二元周期多序列按位取反后得到的周期多序列,与原序列有着密切的联系。针对这类特殊的周期多序列,提出了二元周期多序列的广义对偶多序列定义,讨论了它们联合线性复杂度之间的关系。同时,定义了二元周期多序列的联合重量复杂度,并给出了它们联合重量复杂度之间的关系。
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.