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Why and the way to make use of arbitrary precision, with Kaveh R. Ghazi, Vincent Lefèvre and Philippe Théveny, March 2010, Computing in Science and Engineering, quantity 12, quantity 3, pages 62-65, 2010 (© IEEE). We current an algorithm to seek out two non-linear polynomials for the Number Field Sieve integer factorization method. Computing predecessor and successor in rounding to nearest, with Siegfried Rump, Sylvie Boldo and Guillaume Melquiond, BIT Numerical Mathematics, volume 49, quantity 2, pages 419-431, 2009. - We give simple and environment friendly strategies to compute and/or estimate the predecessor and successor of a floating-level number using only floating-level operations in rounding to nearest. A revised version appeared in a special difficulty of Contemporary Mathematics, volume 461, pages 47-58, 2008. - We give a new algorithm for performing the distinct-diploma factorization of a polynomial P(x) over GF(2), using a multi-stage blocking technique. A GMP-based implementation of Schönhage-Strassen's massive integer multiplication algorithm, with Pierrick Gaudry and Alexander Kruppa, Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC 2007), Waterloo, Ontario, Canada, pages 167-174, editor C.W.Brown, 2007. - Schönhage-Strassen's algorithm is among the best recognized algorithms for multiplying massive integers

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