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» Interval Arithmetic and Standardization
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DAGSTUHL
2008
15 years 4 months ago
Extending the Range of C-XSC: Some Tools and Applications for the use in Parallel and other Environments
We present some examples of extensions for C-XSC that have been developed lately. Among these are extensions that give access to further hardware and software environments as well ...
Markus Grimmer
TC
2011
14 years 10 months ago
Exact and Approximated Error of the FMA
Abstract—The fused multiply accumulate-add (FMA) instruction, specified by the IEEE 754-2008 Standard for Floating-Point Arithmetic, eases some calculations, and is already avai...
Sylvie Boldo, Jean-Michel Muller
LFCS
2007
Springer
15 years 9 months ago
Reasoning About Sequences of Memory States
Abstract. In order to verify programs with pointer variables, we introduce a temporal logic LTLmem whose underlying assertion language is the quantifier-free fragment of separatio...
Rémi Brochenin, Stéphane Demri, &Eac...
CTRSA
2005
Springer
108views Cryptology» more  CTRSA 2005»
15 years 8 months ago
A Systematic Evaluation of Compact Hardware Implementations for the Rijndael S-Box
This work proposes a compact implementation of the AES S-box using composite field arithmetic in GF(((22 ) 2 ) 2 ). It describes a systematic exploration of different choices for...
Nele Mentens, Lejla Batina, Bart Preneel, Ingrid V...
123
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FOCS
2000
IEEE
15 years 7 months ago
Computing the Determinant and Smith Form of an Integer Matrix
A probabilistic algorithm is presented to find the determinant of a nonsingular, integer matrix. For a matrix A ¡£¢ n¤ n the algorithm requires O¥ n3¦5 ¥ logn§ 4¦5§ bit...
Wayne Eberly, Mark Giesbrecht, Gilles Villard