论文标题
$ 2p^mq^n $的第四纪序列及其线性复杂性
A kind of quaternary sequences of period $2p^mq^n$ and their linear complexity
论文作者
论文摘要
具有高线性复杂性的序列在密码学中具有广泛的应用。在本文中，使用$ 2p^mq^n $的$ \ mathbb {f} _4 $上的新的第四纪序列是使用广义环形类别构建的。结果表明，这些序列的线性复杂性达到了最大值。
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.
