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MPFR: A multiple-precision binary floating-point library with correct rounding
This article presents a multiple-precision binary floating-point library, written in the ISO C language, and based on the GNU MP library. Its particularity is to extend to arbitrary-precision, ideas…
IEEE Standard for Floating-Point Arithmetic
Imperfect Forward Secrecy: How Diffie-Hellman Fails in Practice
Logjam, a novel flaw in TLS that lets a man-in-the-middle downgrade connections to "export-grade" Diffie-Hellman, is presented and a close reading of published NSA leaks shows that the agency's attacks on VPNs are consistent with having achieved a break.
GFUN: a Maple package for the manipulation of generating and holonomic functions in one variable
We describe the GFUN package which contains functions for manipulating sequences, linear recurrences, or differential equations and generating functions of various types. This article is intended…
A Calculus for the Random Generation of Labelled Combinatorial Structures
Factorization of a 768-Bit RSA Modulus
This paper reports on the factorization of the 768-bit number RSA-768 by the number field sieve factoring method and discusses some implications for RSA.
Efficient isolation of polynomial's real roots
Automatic Average-Case Analysis of Algorithm
Modern Computer Arithmetic
Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics…