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摘要: |
本文研究了一类具有优自相关性质的二元序列的2-adic复杂度.证明了该类序列的2-adic复杂度不小于其周期的一半,并由此证明了这类序列可抵抗有理逼近算法的攻击. |
关键词: 交织结构 勒让德序列 2-adic复杂度 |
DOI: |
分类号:TN918.1 |
基金项目:国家自然科学基金(61772292;61772476);福建省自然科学基金(2019J01273)及福建师范大学"网络与信息安全关键理论和技术"校创新团队(IRTL1207). |
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STUDY OF 2-ADIC COMPLEXITY OF A CLASS OF BINARY SEQUENCES WITH OPTIMAL AUTOCORRELATION VALUES |
LU Li-yu,KE Pin-hui
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Abstract: |
In this paper, we study the 2-adic complexity of a class of binary sequences with optimal autocorrelation values. We prove that the 2-adic complexity of the considering sequences is not less than a half of its period. So this sequences can resist the attack of rational approximate algorithm. |
Key words: interleaved structures Legendre sequences 2-adic complexity |