GF(3)上三阶分圆序列的自相关值

J4 ›› 2011, Vol. 33 ›› Issue (10): 30-33.

GF(3)上三阶分圆序列的自相关值

雷明亮,岳勤

(南京航空航天大学数学系，江苏南京 210016)

收稿日期:2011-05-15 修回日期:2011-07-20 出版日期:2011-10-25 发布日期:2011-10-25
作者简介:雷明亮(1986),男,江西丰城人，硕士，研究方向为信息安全。岳勤(1964),男,江苏丹阳人，博士，教授，研究方向为信息安全。

The Autocorrelation Values of Several Cyclotomic Sequences Over GF(3)

LEI Mingliang,YUE Qin

(Department of Mathematics, Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

Received:2011-05-15 Revised:2011-07-20 Online:2011-10-25 Published:2011-10-25

摘要/Abstract

摘要：

具有较少自相关值的分圆序列在通信系统和密码学中都有广泛的应用。设p≡1 mod 3为素数，我们计算了GF(3)上一类非平衡的、周期为p的、三阶分圆的序列的自相关值，并进一步给出素数p的条件，使得此序列的自相关值为3值。

关键词: 自相关值, 分圆数, 分圆序列

Abstract:

Cyclotomic sequences with a few correlation values have wide applications in communication systems and cryptography. Let p≡1 mod 3. We calculate the autocorrelation values of a class of unbalanced cyclotomic and periodic p sequences of order three over GF(3). Moreover, we support a condition of prime p such that it has 3level autocorrelation values.

Key words: autocorrelation;cyclotomic numbers;cyclotomic sequences

雷明亮,岳勤. GF(3)上三阶分圆序列的自相关值[J]. J4, 2011, 33(10): 30-33.

LEI Mingliang,YUE Qin. The Autocorrelation Values of Several Cyclotomic Sequences Over GF(3)[J]. J4, 2011, 33(10): 30-33.

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