---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/ArithmeticGeometry/EllipticCurvesOverFiniteFields/bibliography.html"
source: "https://docs.magma-maths.org/ArithmeticGeometry/EllipticCurvesOverFiniteFields/bibliography.md"
part: "Arithmetic Geometry"
chapter: "Elliptic Curves over Finite Fields"
breadcrumbs:
  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Arithmetic Geometry", "source": "../index-arithmetic-geometry.md"}
  - {"title": "Elliptic Curves over Finite Fields", "source": "index-elliptic-curves-over-finite-fields.md"}
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next: {"title": "Elliptic Curves over ${\\mathbb{Q}}$ and Number Fields", "source": "../EllipticCurvesOverQAndNumberFields/index-elliptic-curves-over-qand-number-fields.md"}
---

# Bibliography

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- **[Bla05]** I. Blake, G. Serrousi and N. Smart, editor. *Advances in Elliptic Curve Cryptography*. Volume 317 of LMS LNS. Cambridge University Press, Cambridge, 2005.
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- **[Gau02]** P. Gaudry. A Comparison and a Combination of SST and AGM Algorithms for Counting Points on Elliptic Curves in Characteristic 2. In Y. Zheng, editor, *Advances in Cryptology—AsiaCrypt 2002*, volume 2501 of LNCS, 311–327. Springer-Verlag, 2002. Proc. 8th International Conference on the Theory and Applications of Cryptology and Information Security, Dec. 1–5 2002, Queenstown, New Zealand.
<a id="cite-har-let"></a>
- **[Hara]** R. Harley. Web posting. Under November 2002 entry at http://listserv.nodak.edu/archives/nmbrthry.html.
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- **[Hub07]** Hendrik Hubrechts. Quasi-quadratic elliptic curve point counting using rigid cohomology. *to appear in the Journal of Symbolic Computation*, 2007. http://wis.kuleuven.be/algebra/hubrechts/.
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- **[Koh03]** David R. Kohel. The AGM-$X_0(N)$ Heegner Point Lifting Algorithm and Elliptic Curve Point Counting. In *Advances in Cryptology—AsiaCrypt 2003*, number 2894 in LNCS. Berlin, 2003. Springer.
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- **[LL03]** R. Lercier and D. Lubicz. Counting Points on Elliptic Curves over Finite Fields of Small Characteristic in Quasi Quadratic Time. In *Advances in Cryptology—EuroCrypt 2003*, volume 2656 of LNCS, pages 360–373. Springer, 2003.
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- **[PGS00]** F. Heß P. Gaudry and N. P. Smart. Constructive and destructive facets of Weil descent on elliptic curves. *J. Cryptology*, 15(1):19–46, 2000.