以烟熏消毒
发表于 2025-3-25 07:22:14
Marjorie MacDonald,Jennifer Mullettin a large number of examples; this is done by computing .. and it‘s conjugates over . to a large number of decimal places and then determining its irreducible polynomial over ℚ using a standard recognizer algorithm. The method used in computing the .-series values at .=0 attached to ... is described in .
惩罚
发表于 2025-3-25 10:37:14
Nicholas Freudenberger the Lanczos algorithm (,,) or structured Gaussian elimination ()). Compared with the total time that is needed to solve the systems (especially in .), the time needed by the presented algorithm can be ignored.
debase
发表于 2025-3-25 13:47:36
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品尝你的人
发表于 2025-3-25 18:31:12
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Hiatus
发表于 2025-3-25 21:53:17
Ligia de Salazar,Mary Hall smaller prime ideals for which the isogenies can be computed directly. Combined with previous work of Bostan et al., our algorithm yields equations for large degree isogenies in quasi-optimal time given only the starting curve and the kernel.
假设
发表于 2025-3-26 02:39:27
Marcia Faria Westphal,Juan Carlos Aneiros Fernandezof an algorithm by Peter Montgomery. Unfortunately, Montgomery only published a preliminary version of his algorithm , while a description of his own implementation can be found in . In this paper, we present a variant of the algorithm, compare it with the original algorithm, and discuss its complexity.
逢迎春日
发表于 2025-3-26 05:17:24
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淡紫色花
发表于 2025-3-26 09:59:10
Geneviève Mercilley quadratic rings and show that the canonical lift of an elliptic curve over . can be computed in probabilistic time ≪ exp((log .).) under GRH. We also extend the notion of canonical lift to supersingular elliptic curves and show how to compute it in that case.
Dri727
发表于 2025-3-26 13:34:07
Denis Allard,Angèle Bilodeau,Sylvie Gendront the problem can be solved in .((log .).) time where . is polynomial in . as well as in .. For hyperelliptic curves of genus . over F. we show that the number of rational points on the curve and the number of rational points on its Jacobian can be computed in time .time.
Dignant
发表于 2025-3-26 17:13:32
C. June Strickland,Felicia Hodge,Lillian Tom-Ormens and experimental results. With our present polynomial search algorithm, using more than two polynomials speeds up classical sieving considerably but not line sieving. Line sieving for two polynomials is the fastest way of sieving we tried so far.