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| 摘要: |
| 本文研究了两类周期为pq的四元序列在F4上的线性复杂度和极小多项式.利用[10,12]中的方法,证明了这两类序列在F4上具有高的线性复杂度,从而可以抵抗Berlekamp-Massey算法的攻击. |
| 关键词: 逆Gray映射 广义分圆 四元序列 线性复杂度 |
| DOI： |
| 分类号:O236.2 |
| 基金项目:国家自然科学基金资助项目(62272420);福建省自然科学基金资助项目(2023J01535). |
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| LINEAR COMPLEXITY OF TWO CLASSES OF QUATERNARY SEQUENCES WITH PERIOD pq OVER F4 |
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YAN Fei-fei,KE Pin-hui
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| Abstract: |
| In this paper, the linear complexity and minimal polynomial of two classes of quaternary sequences with period pq over F4 are investigated. By using the method of [10, 12], it is proved that these two classes of sequences have high linear complexity over F4 and thus can resist Berlekamp-Massey algorithm attack. |
| Key words: Inverse Gray mapping generalized cyclotomy quaternary sequences linear complexity |
