| A note about the cyclotomic polynomial Фpq（x） and some related results |
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| 作者姓名： | ZHU Feng-xiang QI Wen-feng |
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| 作者单位： | ZHU Feng-xiang QI Wen-feng Dept.of Appl.Math.，Zhengzhou Inform.Eng.Univ.，Zhengzhou 450002，China. |
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| 基金项目： | Supported by the National Natural Science Foundation of China (60673081) and the National 863 Plan (2006AA01Z417). |
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| 摘 要： | Abstract. The expression of cyclotomic polynomial Фpq （x） is concerned for a long time. A simple and explicit expression of Фpq （x） in Zx] has been showed. The form of the factors of Фpq （x） over F2 and the upper, lower bounds of their Hamming weight are provided.
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| 关 键 词： | 多项式 系数 因子 Фpq(x) |
A note about the cyclotomic polynomial Φ
pq
(x) and some related results |
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| ZHU Feng-xiang QI Wen-feng.A note about the cyclotomic polynomial Φ
pq
(x) and some related results[J].Applied Mathematics A Journal of Chinese Universities,2008,23(2):245-250. |
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| Authors: | Feng-xiang Zhu Wen-feng Qi |
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| Institution: | (1) Dept. of Appl. Math., Zhengzhou Inform. Eng. Univ., Zhengzhou, 450002, China |
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| Abstract: | The expression of cyclotomic polynomial Φ
pq
(x) is concerned for a long time. A simple and explicit expression of Φ
pq
(x) in Zx] has been showed. The form of the factors of Φ
pq
(x) over F
2 and the upper, lower bounds of their Hamming weight are provided.
Supported by the National Natural Science Foundation of China (60673081) and the National 863 Plan(2006AA01Z417). |
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| Keywords: | cyclotomic polynomial Φ pq (x) coefficient factor |
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