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一类推广的二元Legendre-Sidelnikov序列的自相关分布

柯品惠 叶智钒 常祖领

柯品惠, 叶智钒, 常祖领. 一类推广的二元Legendre-Sidelnikov序列的自相关分布[J]. 电子与信息学报, 2016, 38(2): 303-309. doi: 10.11999/JEIT150687
引用本文: 柯品惠, 叶智钒, 常祖领. 一类推广的二元Legendre-Sidelnikov序列的自相关分布[J]. 电子与信息学报, 2016, 38(2): 303-309. doi: 10.11999/JEIT150687
KE Pinhui, YE Zhifan, CHANG Zuling. Autocorrelation Distribution of Binary Generalized Legendre-Sidelnikov Sequences[J]. Journal of Electronics & Information Technology, 2016, 38(2): 303-309. doi: 10.11999/JEIT150687
Citation: KE Pinhui, YE Zhifan, CHANG Zuling. Autocorrelation Distribution of Binary Generalized Legendre-Sidelnikov Sequences[J]. Journal of Electronics & Information Technology, 2016, 38(2): 303-309. doi: 10.11999/JEIT150687

一类推广的二元Legendre-Sidelnikov序列的自相关分布

doi: 10.11999/JEIT150687
基金项目: 

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),福建省自然科学基金(2015J01237),国家自然科学基金联合基金(U1304604)

Autocorrelation Distribution of Binary Generalized Legendre-Sidelnikov Sequences

Funds: 

Fujian Normal University Innovative Research Team (IRTL1207), Natural Science Foundation of Fujian Province (2015J01237), The Joint Funds of the National Natural Science Foundation of China (U1304604)

  • 摘要: 推广的Legendre-Sidelnikov序列较之原序列有更好的平衡性质,但是关于该序列的周期自相关函数,迄今仅知道一些特殊移位的情形。该文利用有限域上特征和的相关性质,给出了推广的二元Legendre-Sidelnikov序列的自相关函数的完整分布。结果表明当p3(mod 4)且qp 时,推广的Legendre-Sidelnikov序列较之原序列有更好的周期自相关函数的分布。
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出版历程
  • 收稿日期:  2015-06-08
  • 修回日期:  2015-09-11
  • 刊出日期:  2016-02-19

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