| 有限域上分圆多项式 |
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| 引用本文： | 陈引兰.有限域上分圆多项式[J].湖北师范学院学报(自然科学版),2012,32(2):1-5. |
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| 作者姓名： | 陈引兰 |
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| 作者单位： | 湖北师范学院数学与统计学院,湖北黄石,435002 |
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| 摘 要： | 探讨有限域上分圆多项式的计算性质，并给出有限域上分圆多项式不可约的条件，最后，给出由分圆多项式求有限域上给定次数的所有不可约多项式。为有限域上不可约多项式理论的完善和应用提供一些理论依据。
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| 关 键 词： | 有限域 分圆多项式 不可约多项式 |
Cyclotomic polynomials over finite fields |
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| CHEN Yin-lan.Cyclotomic polynomials over finite fields[J].Journal of Hubei Normal University(Natural Science),2012,32(2):1-5. |
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| Authors: | CHEN Yin-lan |
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| Institution: | CHEN Yin-lan (School of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China) |
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| Abstract: | In this paper,Some calculation features on cyclotomic polynomials over finite fields have been discussed,and then the conditions of irreducibility about cyclotomic polynomials have been given.Finally,for a given positive integral,Calculation all the irreducible polynomials with given degree over finite fields by cyclotomic polynomials has been solved.These results provided some evidence on theory and applications of irreducible polynomials over finite fields. |
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| Keywords: | finite fields cyclotomic polynomials irreducible polynomials |
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