On Dickson Polynomials and Difference Sets  

Dickson多项式与差集(英文)

作　　者：曹喜望[1] 丘维声[2] 

机构地区：[1]南京航空航天大学理学院数学系,江苏南京210016 [2]北京大学数学科学学院,北京100871

出　　处：《Journal of Mathematical Research and Exposition》2006年第2期219-226,共8页数学研究与评论（英文版）

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.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．

关 键 词：cyclic difference sets permutation polynomials hyperovals two-to-one maps binary sequences. 

分 类 号：O157.2[理学—数学]