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A note about the cyclotomic polynomial Φ_(pq)(x) and some related results

A note about the cyclotomic polynomial Φ_(pq)(x) and some related results
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摘要 . The expression of cyclotomic polynomial Фpq (x) is concerned for a long time. A simple and explicit expression of Фpq (x) in Z[x] has been showed. The form of the factors of Фpq (x) over F2 and the upper, lower bounds of their Hamming weight are provided. The expression of cyclotomic polynomial Фpq (x) is concerned for a long time. A simple and explicit expression of Фpq (x) in Z[x] has been showed. The form of the factors of Фpq (x) over F2 and the upper, lower bounds of their Hamming weight are provided.
机构地区 Dept. of Appl. Math.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第2期245-250,共6页 高校应用数学学报(英文版)(B辑)
基金 National Natural Science Foundation of China(60673081) the National 863 Plan(2006AA01Z417).
关键词 cyclotomic polynomial Фpq(x) COEFFICIENT factor. cyclotomic polynomial, Фpq(x), coefficient, factor.
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参考文献5

  • 1Migotti A. Zur Theorie der Kreisteilungsgleichung, S.-B der Math.-Naturwiss. Class der Kaiserlichen Akademie der Wissenschaften, Wien, 1883, 87: 7-14.
  • 2Beiter M. The midterm coefficient of the cyclotomic polynomial Φpq(X), Amer Math Monthly, 1964, 71: 769-770.
  • 3Carlitz L. The number of terms in the cyclotomic polynomial Φpq(X), Amer Math Monthly,1966, 73: 979-981.
  • 4Lam T Y, Leung K H. On the cyclotomic polynomial Φpq(X), Amer Math Monthiy, 1996, 103:562-564.
  • 5Lidl R, Niederreiter H. Finite Fields, Encyclopaedia of Mathematics and Its Applications, vol 20 Reading, MA: Addision Wesley, 1983.

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