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GF(3)上三阶分圆序列的自相关值 被引量：1

The Autocorrelation Values of Several Cyclotomic Sequences Over GF(3)
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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。 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 cyclotomicand periodic p sequences of order three overGF（3）. Moreover, we support acondition of prime p such that it has 3-level autocorrelation values.
作者 雷明亮 岳勤
机构地区 南京航空航天大学数学系
出处 《计算机工程与科学》 CSCD 北大核心 2011年第10期30-33,共4页 Computer Engineering & Science
基金 国家自然科学基金资助项目(10771100 10971250)
关键词 自相关值 分圆数 分圆序列 autocorrelation cyclotomic numbers cyclotomic sequences
分类号 TN918.1 [电子电信—通信与信息系统]
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参考文献8

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同被引文献16

  • 1邹艳,陆佩忠,朱雪岭.软判决快速相关攻击新算法与应用[J].计算机研究与发展,2007,44(4):581-588. 被引量：4
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  • 7DING C, HELLESETH T, LAM K Y. Several classes of binary se- quences with three-level autocorrelation [ J]. IEEE Transactions on Information Theory, 1999, 45(7) : 2606 - 2612.
  • 8DING C, HELLESETH T. On cyclotomic generator of order r [ J]. Information Processing Letters, 1998, 66 ( 1 ) : 21 - 25.
  • 9SIDELNIKOV V M. Some k-valued pseudo-random sequences and nearly equidistant codes [ J]. Problems of Information Transmission, 1969, 5(1) : 12 - 16.
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计算机工程与科学
2011年 第10期

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