Download Algorithmic Number Theory: 4th International Symposium, by Jin-Yi Cai (auth.), Wieb Bosma (eds.) PDF

By Jin-Yi Cai (auth.), Wieb Bosma (eds.)

This booklet constitutes the refereed lawsuits of the 4th foreign Algorithmic quantity concept Symposium, ANTS-IV, held in Leiden, The Netherlands, in July 2000.
The publication provides 36 contributed papers that have undergone an intensive around of reviewing, choice and revision. additionally incorporated are four invited survey papers. one of the themes addressed are gcd algorithms, primality, factoring, sieve tools, cryptography, linear algebra, lattices, algebraic quantity fields, classification teams and fields, elliptic curves, polynomials, functionality fields, and tool sums.

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Additional resources for Algorithmic Number Theory: 4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000. Proceedings

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In Proc. 30th ACM Symposium on Theory of Computing, 1998, 1–9. 33. O. Goldreich, S. Goldwasser, and S. Halevi. Collision-free hashing from lattice problems. Available from ECCC as TR96-042. 34. O. Goldreich, S. Goldwasser, and S. Halevi. Public-key cryptosystems from lattice reduction problems. In Advances in Cryptology – CRYPTO ’97, Burton S. Kaliski Jr. ), Lecture Notes in Computer Science, 1294:112-131, Springer-Verlag, 1997. 35. O. Goldreich, S. Goldwasser, and S. Halevi. Eliminating decryption errors in the Ajtai-Dwork cryptosystem.

Sudan. Chinese remaindering with errors. Available from ECCC as TR 98-062. 39. P. M. Gruber and C. G. Lekkerkerker. Geometry of Numbers. North-Holland, 1987. 40. J. H˚ astad. Dual Vectors and Lower Bounds for the Nearest Lattice Point Problem. Combinatorica, 8:75–81, 1988. 41. C. Hermite. Extraits de lettres de M. Ch. Hermite ` a M. Jacobi sur diff´erents objets de la th´eorie des nombres. Journal f¨ ur die Reine und Angewandte Mathematik, 40:261–278, 279–290, 291–307, 308–315, 1850. 42. E. Hewitt and K.

14. J-Y. Cai. A New Transference Theorem in the Geometry of Numbers. The 5th International Computing and Combinatorics Conference, 113–122, (COCOON) 1999, Tokyo, Japan. Lecture Notes in Computer Science, 1627. 15. J-Y. Cai. Applications of a New Transference Theorem to Ajtai’s Connection Factor. In the Proceedings of the 14th Annual IEEE Conference on Computational Complexity, pp 205–214, 1999. 16. J-Y. Cai. A Relation of Primal-Dual Lattices and the Complexity of Shortest Lattice Vector Problem.

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