Download Algebraic Geometry and Its Applications: Dedicated to Gilles by Jean Chaumine, James Hirschfeld, Robert Rolland PDF

By Jean Chaumine, James Hirschfeld, Robert Rolland

This quantity covers many subject matters together with quantity idea, Boolean capabilities, combinatorial geometry, and algorithms over finite fields. This booklet comprises many fascinating theoretical and applicated new effects and surveys provided via the easiest experts in those components, equivalent to new effects on Serre's questions, answering a question in his letter to most sensible; new effects on cryptographic functions of the discrete logarithm challenge relating to elliptic curves and hyperellyptic curves, together with computation of the discrete logarithm; new effects on functionality box towers; the development of recent periods of Boolean cryptographic services; and algorithmic functions of algebraic geometry.

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Additional resources for Algebraic Geometry and Its Applications: Dedicated to Gilles Lachaud on His 60th Birthday (Series on Number Theory and Its Applications)

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Of Number Theory, 116:443–473, 2006. 20. G. Orzech and M. Orzech. Plane algebraic curves, volume 61. , New-York, 1981. 21. C. Ritzenthaler. Point counting on genus 3 non hyperelliptic curves. In Algorithmic Number Theory Symposium - ANTS-VI, volume 3076 of LNCS, pages 379–394. Springer, 2004. 22. F. Abu Salem and K. Khuri-Makdisi. Fast Jacobian group operations for C3,4 curves over a large finite field. pdf. 23. J. Estrada Sarlabous, E. Reinaldo Barreiro and J. A. Pi˜ neiro Barcel´ o. On the Jacobian varieties of Picard curves: explicit addition law and algebraic structure.

Springer, Berlin, 2000. 4. A. Basiri, A. Enge, J-C. Faug`ere and N. G¨ urel. Implementing the Arithmetic of C3,4 Curves. In Algorithmic Number Theory Symposium - ANTS-VI, volume 3076 of LNCS, pages 87–101. Springer, 2004. 5. R. Blache, J. Estrada Sarlabous and M. Petkova. A geometric interpretation of reduction in the Jacobian of Cab curves. preprint. 6. C. Diem and E. Thom´e. Index calculus in class groups of non-hyperelliptic curves of genus three. accepted at J. of Cryptology, 2007. 7. E. W.

Linear algebra algorithms for divisor on an algebraic curve. Math. of Computations, 73:333–357, 2004. 17. K. Khuri-Makdisi. asymptotically fast group operations on Jacobian of general curves. 2006. NT/0409209. 18. K. Miura and H. Yoshihara. Field theory for function fields of plane quartic curves. J. of Algebra, 226:283–294, 2000. February 11, 2008 28 15:6 WSPC - Proceedings Trim Size: 9in x 6in saga˙master S. Flon, R. Oyono, C. Ritzenthaler 19. E. Nart and C. Ritzenthaler. Non hyperelliptic curves of genus three over finite fields of characteristic two.

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