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Generating Prime Order Elliptic Curves: Difficulties and Efficiency Considerations.

, , , and . ICISC, volume 3506 of Lecture Notes in Computer Science, page 261-278. Springer, (2004)

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Some remarks on the construction of class polynomials., and . Adv. Math. Commun., 5 (1): 109-118 (2011)Syzygies of ideals of polynomial rings over principal ideal domains., , , and . ISSAC, page 78-82. ACM, (2020)What is your "birthday elliptic curve"?, , , and . Finite Fields Their Appl., 18 (6): 1232-1241 (2012)On the Efficient Generation of Prime-Order Elliptic Curves., , , and . J. Cryptol., 23 (3): 477-503 (2010)Generating Prime Order Elliptic Curves: Difficulties and Efficiency Considerations., , , and . ICISC, volume 3506 of Lecture Notes in Computer Science, page 261-278. Springer, (2004)The Group of Automorphisms of Cyclic Extensions of Rational Function Fields. Journal of Algebra, 216 (2): 665 - 706 (1999)Ramanujan's class invariants and their use in elliptic curve cryptography., and . Comput. Math. Appl., 59 (8): 2901-2917 (2010)Constructing class invariants.. Math. Comput., 83 (287): 1477-1488 (2014)Automorphisms of hyperelliptic modular curves X0(N) in positive characteristic., and . LMS J. Comput. Math., (2010)Computational Aspects of Equivariant Hilbert Series of Canonical Rings for Algebraic Curves., , , and . CASC, volume 13366 of Lecture Notes in Computer Science, page 83-102. Springer, (2022)