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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
EUROCAST
2005
Springer
97views Hardware» more  EUROCAST 2005»
14 years 27 days ago
Extracting Computer Algebra Programs from Statements
In this paper, an approach to synthesize correct programs from specifications is presented. The idea is to extract code from definitions appearing in statements which have been me...
Jesús Aransay, Clemens Ballarin, Julio Rubi...
JSYML
2002
92views more  JSYML 2002»
13 years 7 months ago
Groundwork for Weak Analysis
Abstract. This paper develops the very basic notions of analysis in a weak secondorder theory of arithmetic BTFA whose provably total functions are the polynomial time computable f...
António M. Fernandes, Fernando Ferreira
STOC
2010
ACM
204views Algorithms» more  STOC 2010»
14 years 4 months ago
On the Hardness of the Noncommutative Determinant
In this paper we study the computational complexity of computing the noncommutative determinant. We first consider the arithmetic circuit complexity of computing the noncommutativ...
Vikraman Arvind and Srikanth Srinivasan
CADE
2005
Springer
14 years 7 months ago
An Algorithm for Deciding BAPA: Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard