Counting points on hyperelliptic curves of type y2 = x2g +1 + axg +1 + bx1

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Counting points on hyperelliptic curves of type y2 = x2g +1 + axg +1 + bx1	533 KB	Adobe Acrobat PDF	Read	Download
DOI Доступ к ресурсу на сайте издателя			10.17223/2226308X/11/9

Title: Counting points on hyperelliptic curves of type y2 = x2g +1 + axg +1 + bx1
Title: Подсчет числа точек на гиперэллиптических кривых вида y2 = x2g+1 + axg+1 + bx
Creator: Novoselov, S. A.
Date: 2018
DOI: 10.17223/2226308X/11/9
Description: 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.

Created: 18-09-2018

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Журналы ТГУ Counting points on hyperelliptic curves of type y2 = x2g +1 + axg +1 + bx1