多序列在伪随机向量的生成和保密学等领域中有着重要的应用价值.定义了有限域F2上多序列的广义导数和多序列的周期,研究了周期多序列的周期和构成该多序列的单序列的周期之间的关系、周期多序列的广义导数序列的周期性,并给出了两类特殊条件下的二元周期多序列的k阶广义导数序列的结构.
Multisequences play crucial role in many areas such as pseudorandom vector generation and cryptology et al.The generalized derivatives and the period of a multisequence on the finite field F2 are defined,the connection between the period of a periodic multisequence and the periods of the sequences that constitute the multisequence is established.And the structures of two special types of periodic multisequences on the finite field F2 is given.