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» Algorithms for Ordinal Arithmetic
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ASAP
2004
IEEE
141views Hardware» more  ASAP 2004»
13 years 11 months ago
Evaluating Instruction Set Extensions for Fast Arithmetic on Binary Finite Fields
Binary finite fields GF(2n ) are very commonly used in cryptography, particularly in publickey algorithms such as Elliptic Curve Cryptography (ECC). On word-oriented programmable ...
A. Murat Fiskiran, Ruby B. Lee
DAC
2005
ACM
14 years 8 months ago
MiniBit: bit-width optimization via affine arithmetic
MiniBit, our automated approach for optimizing bit-widths of fixed-point designs is based on static analysis via affine arithmetic. We describe methods to minimize both the intege...
Dong-U Lee, Altaf Abdul Gaffar, Oskar Mencer, Wayn...
TVLSI
2008
121views more  TVLSI 2008»
13 years 7 months ago
Area-Efficient Arithmetic Expression Evaluation Using Deeply Pipelined Floating-Point Cores
Recently, it has become possible to implement floating-point cores on field-programmable gate arrays (FPGAs) to provide acceleration for the myriad applications that require high-p...
Ronald Scrofano, Ling Zhuo, Viktor K. Prasanna
CADE
2012
Springer
11 years 10 months ago
A Simplex-Based Extension of Fourier-Motzkin for Solving Linear Integer Arithmetic
Abstract. This paper describes a novel decision procedure for quantifierfree linear integer arithmetic. Standard techniques usually relax the initial problem to the rational domai...
François Bobot, Sylvain Conchon, Evelyne Co...
FMCAD
2009
Springer
14 years 2 months ago
Decision diagrams for linear arithmetic
—Boolean manipulation and existential quantification of numeric variables from linear arithmetic (LA) formulas is at the core of many program analysis and software model checkin...
Sagar Chaki, Arie Gurfinkel, Ofer Strichman