| 有限域上二次型序列与几何序列的互相关性 |
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| 引用本文： | 夏永波,彭丽.有限域上二次型序列与几何序列的互相关性[J].高校应用数学学报(英文版),2006,21(2):223-233. |
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| 作者姓名： | 夏永波 彭丽 |
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| 作者单位： | School of Mathematics and Compute Science of Hubei University,Wuhan 430062,China |
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| 基金项目： | 中国科学院资助项目
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教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | §1Introduction Letpbeaprimenumber,q=pm,andFqdenotethefinitefieldwithqelements.Fo anyn≥1,Trmnm(·)isthetracefunctionfromFqntoFq.LetαbeaprimitiveelementofFq and{α1,α2,...,αn}beabasisofFqnoverFq.Definition1.ForanonlinearfunctionffromFqtoFp,thesequenceS={Si}qn-1i=1withit termdefinedby Si=f(Trmnm(αi))(1iscalledageometricsequence.SuchageometricsequenceShasperioddividingqn-1.Geometricsequences includingm-sequence1],GMWsequence2,3],cascadedGMWsequence4,5]andman others6],mayhavelar…
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| 关 键 词： | 有限域 二次型序列 几何序列 互相关性 |
| 收稿时间： | 2005-06-06 |
Cross-correlations between quadratic form sequences and geometric sequences over finite fields |
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| Xia Yongbo,Peng Li.Cross-correlations between quadratic form sequences and geometric sequences over finite fields[J].Applied Mathematics A Journal of Chinese Universities,2006,21(2):223-233. |
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| Authors: | Xia Yongbo Peng Li |
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| Institution: | School of Mathematics and Compute Science of Hubei University,Wuhan 430062,China |
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| Abstract: | For all types of quadratic forms,the cross-correlations between geometric sequences and the newly defined quadratic form sequences are determined to extend the results presented by Klapper in 1993 and 1997. The technique for computing cross-correlations is based on counting the number of solutions for a system of equations that consists of a quadratic form and a linear function. |
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| Keywords: | sequence cross-correlation geometric sequence quadratic form sequence |
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