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

Algebraic Geometry

By Jean Chaumine, James Hirschfeld, Robert Rolland

ISBN-10: 9812793429

ISBN-13: 9789812793423

This quantity covers many subject matters together with quantity thought, Boolean features, combinatorial geometry, and algorithms over finite fields. This publication includes many attention-grabbing theoretical and applicated new effects and surveys provided through the easiest experts in those components, comparable to new effects on Serre's questions, answering a question in his letter to most sensible; new effects on cryptographic purposes of the discrete logarithm challenge on the topic of elliptic curves and hyperellyptic curves, together with computation of the discrete logarithm; new effects on functionality box towers; the development of recent sessions of Boolean cryptographic capabilities; and algorithmic purposes of algebraic geometry.

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Additional info 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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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. Howe, K. E. Lauter and J. Top. Pointless curves of genus three and four. In Algebra, Geometry, and Coding Theory (AGCT 2003) (Y. Aubry and G. ), volume 11 of S´eminaires et Congr´es. Soci´et´e Math´ematique de France, Paris, 2005.

K. Khuri-Makdisi. 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.

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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