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一類推廣的二元Legendre-Sidelnikov序列的自相關(guān)分布

柯品惠,  葉智釩,  常祖領(lǐng)

柯品惠, 葉智釩, 常祖領(lǐng). 一類推廣的二元Legendre-Sidelnikov序列的自相關(guān)分布[J]. 電子與信息學(xué)報, 2016, 38(2): 303-309. doi: 10.11999/JEIT150687
引用本文: 柯品惠, 葉智釩, 常祖領(lǐng). 一類推廣的二元Legendre-Sidelnikov序列的自相關(guān)分布[J]. 電子與信息學(xué)報, 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

一類推廣的二元Legendre-Sidelnikov序列的自相關(guān)分布

doi: 10.11999/JEIT150687
  • 1.

    (福建省網(wǎng)絡(luò)安全與密碼技術(shù)重點實驗室 福州 350117) ②(鄭州大學(xué)數(shù)學(xué)與統(tǒng)計學(xué)院 鄭州 450001)

基金項目: 

福建師范大學(xué)網(wǎng)絡(luò)與信息安全關(guān)鍵理論和技術(shù)校創(chuàng)新團隊(IRTL1207)，福建省自然科學(xué)基金(2015J01237)，國家自然科學(xué)基金聯(lián)合基金(U1304604)

Autocorrelation Distribution of Binary Generalized Legendre-Sidelnikov Sequences

  • 1.

    (Fujian Provincial Key Laboratory of Network Security and Cryptology, Fuzhou 350117, China)

  • 2.

    (School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China)

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: 推廣的Legendre-Sidelnikov序列較之原序列有更好的平衡性質(zhì)，但是關(guān)于該序列的周期自相關(guān)函數(shù)，迄今僅知道一些特殊移位的情形。該文利用有限域上特征和的相關(guān)性質(zhì)，給出了推廣的二元Legendre-Sidelnikov序列的自相關(guān)函數(shù)的完整分布。結(jié)果表明當p3(mod 4)且qp 時，推廣的Legendre-Sidelnikov序列較之原序列有更好的周期自相關(guān)函數(shù)的分布。
    Abstract: Compared with the original Legendre-Sidelnikov sequence, the generalized Legendre-Sidelnikov sequence has a better balanced property. For its autocorrelation distribution, however, only some special cases are known. In this paper, using the character sums, the autocorrelation distribution of the generalized binary Legendre-Sidelnikov sequence is determined completely. The result shows that the generalized Legendre-Sidelnikov sequence possesses a better autocorrelation distribution if p3 (mod 4) andqp .
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出版歷程
  • 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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