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基于GMW序列对的级联交织二元序列的对称2-adic复杂度研究
郑坤斌1, 柯品惠1, 吴晨煌2
1.福建师范大学;2.莆田学院福建省金融信息处理重点实验室
摘要:
对称2-adic复杂度是周期二元序列抵抗有理逼近算法攻击的一个重要的指标. 分析并确定了一类周期为4N(N = 3 (mod 4) )具有级联交织结构的二元序列的对称2-adic复杂度, 结果表明在一定条件下该序列的对称2-adic复杂度不小于周期的一半.
关键词:  二元序列  对称2-adic复杂度  级联交织结构  反序列
DOI:
分类号:O236.2
基金项目:国家自然科学基金
Study of the Symmetric 2-Adic Complexity of Binary Sequence With Interleaving Cascade From GMW Sequence Pair
zhengkunbin,kepinhui
Abstract:
Symmetric 2-adic complexity serves as an important indicator for periodic binary sequences to resist rational approximation attacks. In this paper, the symmetric 2-adic complexity of a class of interleaving cascade binary sequences with 4N(N = 3 (mod 4)) is determined. Our results indicate that the symmetric 2-adic complexity of the discussed sequence is not less than the half of its period under certain conditions.
Key words:  Binary sequence  symmetric 2-adic complexity  interleaving cascade sequence  reverse sequence