TY - SER AU - Novoselov,S.A. TI - Counting points on hyperelliptic curves of type y2 = x2g +1 + axg +1 + bx1 KW - гиперэллиптические кривые KW - Картье-Манина матрицы KW - Лежандра многочлены KW - статьи в журналах N1 - Библиогр.: 12 назв N2 - 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 UR - http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000632999 ER -