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計算數論

計算數論. 交通大學 資訊工程系 陳榮傑. Outline. 1. Abelian groups 2. Rings 3. Algebraic numbers 4. Number fields 5. Finite fields 6. Algorithms for finite fields 7. Primality testing 8. Factoring 9. Discrete logarithm. Grading. Homeworks 20% Midterm 35% Final 45%. Reference.

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計算數論

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  1. 計算數論 交通大學 資訊工程系 陳榮傑

  2. Outline 1. Abelian groups2. Rings3. Algebraic numbers4. Number fields5. Finite fields6. Algorithms for finite fields7. Primality testing8. Factoring9. Discrete logarithm

  3. Grading Homeworks 20%Midterm 35%Final 45%

  4. Reference A computational introduction to number theory and algebra (2nd edition) by Victor Shoup

  5. Grobner bases approach for polynomial systems

  6. Cantor-Zassenhaus Algorithm – factoring polynomials

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