| 曹喜望,丘维声.Dickson多项式与差集[J].数学研究及应用,2006,26(2):219~226 |
| Dickson多项式与差集 |
| On Dickson Polynomials and Difference Sets |
| 投稿时间：2004-05-09 |
| DOI：10.3770/j.issn:1000-341X.2006.02.005 |
| 中文关键词: 循环差集 置换多项式 超卵形线 二对一映射 二元序列. |
| 英文关键词:cyclic difference sets permutation polynomials hyperovals two-to-one maps binary sequences. |
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| 中文摘要: |
| 1998年, Maschietti用超卵形线构造了几个循环差集. R.Evans, H.D.L. Holloman, C.Krattnthaler与Qing Xiang等给出了其对应的二元序列具有良好自相关函数的简单代数证明.在本文中,证明了超卵形线与二对一映射有着紧密的联系,并且推广了Maschietti的结果. |
| 英文摘要: |
| In 1998, Maschietti constructed several cyclic difference sets from monomial hyperovals. R. Evans, H.D.L. Holloman, C. Krattnthaler and Qing Xiang gave an algebraic proof of the two autocorrelation property of the related binary sequence. In this paper, we show that hyperovals are very closely related to two-to-one maps, and then we proceed to generalize Maschietti's result. |
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