On how to construct elliptic curves with given number of points over finite fields using the method of complex multiplication and Shimura reciprocity law.
A. Kontogeorgis
Constructing class invariants
In: Math. Comp., Vol. 83, No. 287, pg. 1477–1488, 2014.
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E. Konstantinou, A. Kontogeorgis
Ramanujan invariants for discriminants congruent to 5\pmod24
In: Int. J. Number Theory, Vol. 8, No. 1, pg. 265–287, 2012.
ISSN: 1793-0421.
H. Chan, E. Konstantinou, A. Kontogeorgis, C. Tan
What is your “birthday elliptic curves”?”
In: Finite Fields and Their Applications, Vol. 180, pg. 1232–1241, 2012.
E. Konstantinou, A. Kontogeorgis
Some remarks on the construction of class polynomials
In: Adv. Math. Commun., Vol. 5, No. 1, pg. 109–118, 2011.
ISSN: 1930-5346.
E. Konstantinou, A. Kontogeorgis
Ramanujan’s class invariants and their use in elliptic curve cryptography
In: Comput. Math. Appl., Vol. 59, No. 8, pg. 2901–2917, 2010.
ISSN: 0898-1221.
E. Konstantinou, A. Kontogeorgis, Y. Stamatiou, C. Zaroliagis
On the efficient generation of prime-order elliptic curves
In: J. Cryptology, Vol. 23, No. 3, pg. 477–503, 2010.
ISSN: 0933-2790.
E. Konstantinou, A. Kontogeorgis
Computing polynomials of the Ramanujan t_n class invariants
In: Canad. Math. Bull., Vol. 52, No. 4, pg. 583–597, 2009.
ISSN: 0008-4395.
E. Konstantinou, A. Kontogeorgis, Y. Stamatiou, C. Zaroliagis
Generating prime order elliptic curves: difficulties and efficiency considerations
In: Information security and cryptology—ICISC 2004, Lecture Notes in Comput. Sci., Vol. 3506, pg. 261–278, Springer, 2005, Berlin.
The original publication is available at www.springerlink.com