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Counting points on hyperelliptic curves of type y2 = x2g +1 + axg +1 + bx1 S. A. Novoselov
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ArticleOther title: Подсчет числа точек на гиперэллиптических кривых вида y2 = x2g+1 + axg+1 + bx [Parallel title]Subject(s): гиперэллиптические кривые | Картье-Манина матрицы | Лежандра многочленыGenre/Form: статьи в журналах Online resources: Click here to access online
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Прикладная дискретная математика. Приложение № 11. С. 30-33Abstract: In this work, we investigate hyperelliptic curves of type C : y2 = x2g+1 + ax9+1 + bx over the finite field Fq, q = pn, p > 2. For the case of g = 3 or 4, p { 4g and b is a 4g-root, we provide efficient methods to compute the number of points in the Jacobian of the curve.
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In this work, we investigate hyperelliptic curves of type C : y2 = x2g+1 + ax9+1 + bx over the finite field Fq, q = pn, p > 2. For the case of g = 3 or 4, p { 4g and b is a 4g-root, we provide efficient methods to compute the number of points in the Jacobian of the curve.
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