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Dickson多项式的几个新的性质
引用本文:曹喜望.Dickson多项式的几个新的性质[J].北京大学学报(自然科学版),2004,40(1):12-18.
作者姓名:曹喜望
作者单位:北京大学数学科学学院,北京,100871
摘    要:Dickson多项式是有限域上的一类重要的置换多项式,它在编码及通信领域有重要的应用,本文给出了Dickson多项式的一些新的性质,推广了一些已有的结果.

关 键 词:有限域  Dickson多项式  置换多项式

Some New Properties of Dickson Polynomials
Abstract.Some New Properties of Dickson Polynomials[J].Acta Scientiarum Naturalium Universitatis Pekinensis,2004,40(1):12-18.
Authors:Abstract
Abstract:Dickson polynomials are of special source of permutation polynomials over finite fields.It was found that Dickson polynomials have important applications in both pure and applied mathematics such as pseudoprimality testing and cryptology.Some new properties about Dickson polynomials are given in this note.It was shown that many properties of Dickson polynomials can be derived from our equations easily.
Keywords:finite fields  Dickson polynomials  permutation polynomials
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