一类周期为$2p^mq^n$的四元序列及其线性复杂度
A kind of quaternary sequences of period $2p^mq^n$ and their linear complexity
摘要：
高线性复杂度序列在密码学中有着广泛的应用。利用广义分圆类构造了一类新的周期为$2p^mq^n$的$\mathbb{F}_4$上的四元序列.结果表明，这些序列的线性复杂度达到最大。
英文摘要：
Sequences with high linear complexity have wide applications in cryptography. In this paper, a new class of quaternary sequences over $\mathbb{F}_4$ with period $2p^mq^n$ is constructed using generalized cyclotomic classes. Results show that the linear complexity of these sequences attains the maximum.
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