Literatura iz eliptičkih krivulja i njihove primjene u kriptografiji

  1. A. Ash, R. Gross, Elliptic Tales: Curves, Counting and Number Theory, Princeton University Press, 2012.

  2. A.K. Bhandari, D.D. Nagraj, R. Ramakrishnan, T.N. Venkataramana (Eds.): Elliptic Curves, Modular Forms and Cryptography, Hindustan Book Agency, 2003. (*)

  3. I. Blake, G. Seroussi, N. Smart: Elliptic Curves in Cryptography, Cambridge University Press, 1999.

  4. I. Blake, G. Seroussi, N. Smart (Eds): Advances in Elliptic Curve Cryptography, Cambridge University Press, 2005.

  5. E. Brown, B.T. Myers: Elliptic curves from Mordell to Diophantus and back, American Mathematical Monthly 109 (2002), 639-649.

  6. E.B. Burger: Exploring the Number Jungle: A Journey into Diophantine Analysis, American Mathematical Society, 2000.

  7. Certicom: ECC Online Tutorial, http://www.certicom.com

  8. J.S. Chahal: Topics in Number Theory, Plenum Press, 1988.

  9. H. Cohen: A Course in Computational Algebraic Number Theory, Springer-Verlag, 1993. (*)

  10. H. Cohen, G. Frey (Eds): Handbook of Elliptic and Hyperelliptic Curve Cryptography, Chapman & Hall/CRC, 2005. (*)

  11. I. Connell: Elliptic Curve Handbook, http://www.math.mcgill.ca/connell/public/ECH1/

  12. J.B. Conrey, D.W. Farmer, F. Mezzadri, N.C. Snaith (Eds): Ranks of Elliptic Curves and Random Matrix Theory, Cambridge University Press, 2007.

  13. J. E. Cremona: Algorithms for Modular Elliptic Curves, Cambridge University Press, Cambridge, 1997.

  14. C. Daney: The Mathematics of Fermat's Last Theorem http://www.scienceandreason.net/flt/flt01.htm

  15. H. Darmon: Rational Points on Modular Elliptic Curves, American Mathematical Society, 2004. (*)

  16. A. Das: Computational Number Theory, CRC Press, 2013. (D)

  17. F. Diamond, J. Shurman: A First Course in Modular Forms, Springer-Verlag, 2005. (*)

  18. A. Dujella: Diophantine m-tuples. Connections with elliptic curves, http://web.math.hr/~duje/coell.html

  19. A. Dujella: High rank elliptic curves with prescribed torsion, http://web.math.hr/~duje/tors/tors.html

  20. A. Dujella: History of elliptic curves rank records, http://web.math.hr/~duje/tors/rankhist.html

  21. A. Dujella, M. Maretić: Kriptografija, Element, Zagreb, 2007. (*)

  22. T. Ekedahl: One Semester of Elliptic Curves, European Mathematical Society, 2006. (*)

  23. P. Garrett, D. Lieman (Eds.): Public-Key Cryptography, American Mathematical Society, 2005. (*)

  24. D. Hankerson, A. Menezes, S. Vanstone: Guide to Elliptic Curve Cryptography, Springer-Verlag, 2004.

  25. J. Hoffstein, J. Pipher, J. H. Silverman: An Introduction to Mathematical Cryptography, Springer, 2008.

  26. A. Jurisic, A.J. Menezes: Elliptic Curves and Cryptography, Certicom Whitepaper, 1997.

  27. H. Kisilevsky, M.R. Murty (Eds.): Elliptic Curves and Related Topics, American Mathematical Society, 1994.

  28. A.W. Knapp: Elliptic Curves, Princeton University Press, 1992. (*)

  29. N. Koblitz: Introduction to Elliptic Curves and Modular Forms, Springer-Verlag, 1993. (*)

  30. N. Koblitz: A Course in Number Theory and Cryptography, Springer-Verlag, 1994. (*)

  31. N. Koblitz: Algebraic Aspects of Cryptography, Spinger-Verlag, 1999.

  32. N. Koblitz, A. Menezes, S.A. Vanstone: The State of Elliptic Curve Cryptography, Designs, Codes and Cryptography 19 (2000), pp. 173--193.

  33. S. Lang: Elliptic Curves: Diophantine Analysis, Springer-Verlag, 1978. (*)

  34. A.K. Lenstra, E.R. Verheul: Selecting cryptographic key sizes, Journal of Cryptology 14 (2001), 255-293.

  35. S. Ling, H. Wang, C. Xing: Algebraic Curves in Cryptography, CRC Press, 2013.

  36. R. A. Mollin: An Introduction to Cryptography, Chapman & Hall/CRC Press, 2001.

  37. I.M. Niven, H.S. Zuckerman, H.L. Montgomery: An Introduction to the Theory of Numbers, John Wiley & Sons, 1991. (*)

  38. H.E. Rose: A Course in Number Theory, Oxford University Press, 1995.

  39. M. Rosing: Implementing Elliptic Curve Cryptography, Manning, 1999.

  40. K. Rubin: Elliptic curves and right triangles, http://www.math.uci.edu/~krubin/lectures/sumo/

  41. D. Rusin: The Mathematical Atlas, 14H52: Elliptic Curves, http://www.math.niu.edu/~rusin/known-math/index/14H52.html

  42. S. Schmitt, H.G. Zimmer: Elliptic Curves. A Computational Approach, de Gruyter, 2003.

  43. P. Serf: Congruent numbers and elliptic curves, in Computational Number Theory, de Gruyter, 1991, pp. 227-238.

  44. A. Silverberg: Open Questions in Arithmetic Algebraic Geometry, in Arithmetic Algebraic Geometry, American Mathematical Society, 2001, 83-142.

  45. J.H. Silverman: The Arithmetic of Elliptic Curves, Springer-Verlag, 1996, 2009. (*)

  46. J.H. Silverman, J. Tate: Rational Points on Elliptic Curves, Springer-Verlag, 1992. (*)

  47. N. Smart: Cryptography. An Introduction, McGraw-Hill, New York, 2002.

  48. D.R. Stinson: Cryptography. Theory and Practice, CRC Press, 1996, 2002, 2005 (*)

  49. W. Trappe, L. C. Washington: Introduction to Cryptography with Coding Theory, Prentice Hall, 2002.

  50. I. Vidav: Eliptične krivulje in eliptične funkcije, Društvo matematikov, fizikov in astronomov Slovenije, 1991.

  51. L.C. Washington: Elliptic Curves: Number Theory and Cryptography, CRC Press, 2003, 2008. (*)

  52. D.W. Wilson: The fifth taxicab number is 48988659276962496, Journal of Integer Sequences 2 (1999), Article 99.1.9.

  53. S.Y. Yan: Number Theory for Computing, Springer-Verlag, 2002. (*)
(*) - knjige koje posjeduje središnja matematička knjižnica, PMF-Matematički odjel


Web stranice nekih kolegija o eliptičkim krivuljama

  1. Algorithmic Aspects of Elliptic Curves (Andrej Dujella)

  2. Algorithms for elliptic curves (Andrej Dujella)

  3. Arithmetic of Elliptic Curves and Modular Forms (Hossein Movasati)

  4. Diophantine geometry (Alvaro Lozano-Robledo)

  5. Elliptic Curves (Gunther L.M. Cornelissen, Peter Stevenhagen)

  6. Elliptic Curves (Wojciech J. Gajda)

  7. Elliptic Curves (Miles Reid)

  8. Elliptic Curves (Andrew Snowden)

  9. Elliptic Curves (Andrew Sutherland)

  10. Elliptic Curves (Helena Verrill)

  11. Elliptic Curves and Applications (Andrej Dujella)

  12. Elliptic Curves and Applications to Cryptography (Kirsten Eisenträger)

  13. Elliptic Curves and Cryptography (Alan Silvester)

  14. Elliptic Curves in Cryptography (Andrej Dujella, Filip Najman)

  15. Elliptic curves over number fields (Filip Najman)

  16. Elliptische Kurven (Franz Lemmermeyer)

  17. Introduction to elliptic curves (Ian Kiming)

  18. Number Theory of Cubic Curves (Jaap Top)

  19. Rational Points on Elliptic Curves (Daniel Rogalski)

  20. Selected Topics in Number Theory (Jerrold Tunnell)


Web stranica seminara Andrej Dujella - osobna stranica