| 胡丽琴,岳勤.Whiteman广义分圆序列的自相关值[J].数学研究及应用,2012,32(4):415~422 |
| Whiteman广义分圆序列的自相关值 |
| Autocorrelation Value of Whiteman Generalized Cyclotomic Sequence |
| 投稿时间：2011-01-15 修订日期：2011-07-30 |
| DOI：10.3770/j.issn:2095-2651.2012.04.005 |
| 中文关键词: 广义分圆 广义分圆序列 自相关值. |
| 英文关键词:generalized cyclotomy generalized cyclotomic sequence autocorrelation value. |
| 基金项目:国家自然科学基金(Grant Nos.10771100; 10971250; 11171150). |
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| 中文摘要: |
| 设$p$和$q$为满足$gcd(p-1,q-1)=4$的不同的奇素数,本文计算了$Z_{pq}$上一类Whiteman四阶广义分圆二元序列的自相关值,并给出$p,q$需满足的适当的条件,使得自相关值为四值函数. |
| 英文摘要: |
| Let $p,q$ be distinct primes with $\gcd(p-1,q-1)=4$. In this paper, we calculate the autocorrelation values of binary sequences of generalized cyclotomic sets of order four in ${\Bbb Z}^*_{pq}$ and get conditions of $p$ and $q$ such that they are four-valued. |
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