Aristides Kontogeorgis
Department of Mathematics
National and Kapodistrian University of Athens

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Office: 201
Email
Phone Number:
210 7276509
Address: Department of Mathematics
National and Kapodistrian University of Athens
Panepistimioupolis,
GR-157 84, Athens Greece

Bulletin of the Hellenic Math. Society

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Follow me on ResearchGate Aristides Kontogeorgis's citations

Elliptic Curves - Complex Multiplication - Class Invariants

On how to construct elliptic curves with given number of points over finite fields using the method of complex multiplication and Shimura reciprocity law.


Publications

Journal articles (7)

2014

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A. Kontogeorgis
Constructing class invariants
DOI BibTeX Preliminary Version
In: Math. Comp., Vol. 83, No. 287, pg. 1477–1488, 2014.
ISSN: 0025-5718.

2012

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E. Konstantinou, A. Kontogeorgis
Ramanujan invariants for discriminants congruent to 5\pmod24
DOI BibTeX Preliminary Version
In: Int. J. Number Theory, Vol. 8, No. 1, pg. 265–287, 2012.
ISSN: 1793-0421.

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H. Chan, E. Konstantinou, A. Kontogeorgis, C. Tan
What is your “birthday elliptic curves”?”
DOI BibTeX Preliminary Version
In: Finite Fields and Their Applications, Vol. 180, pg. 1232–1241, 2012.

2011

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E. Konstantinou, A. Kontogeorgis
Some remarks on the construction of class polynomials
DOI BibTeX Preliminary Version
In: Adv. Math. Commun., Vol. 5, No. 1, pg. 109–118, 2011.
ISSN: 1930-5346.

2010

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E. Konstantinou, A. Kontogeorgis
Ramanujan’s class invariants and their use in elliptic curve cryptography
DOI BibTeX Preliminary Version
In: Comput. Math. Appl., Vol. 59, No. 8, pg. 2901–2917, 2010.
ISSN: 0898-1221.

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E. Konstantinou, A. Kontogeorgis, Y. Stamatiou, C. Zaroliagis
On the efficient generation of prime-order elliptic curves
DOI BibTeX Preliminary Version
In: J. Cryptology, Vol. 23, No. 3, pg. 477–503, 2010.
ISSN: 0933-2790.

2009

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E. Konstantinou, A. Kontogeorgis
Computing polynomials of the Ramanujan t_n class invariants
DOI BibTeX Preliminary Version
In: Canad. Math. Bull., Vol. 52, No. 4, pg. 583–597, 2009.
ISSN: 0008-4395.

Conference (1)

2005

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E. Konstantinou, A. Kontogeorgis, Y. Stamatiou, C. Zaroliagis
Generating prime order elliptic curves: difficulties and efficiency considerations
DOI BibTeX Preliminary Version
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