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» Solving Parametric Algebraic Systems
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IMA
2007
Springer
137views Cryptology» more  IMA 2007»
15 years 6 months ago
Algebraic Cryptanalysis of the Data Encryption Standard
In spite of growing importance of AES, the Data Encryption Standard is by no means obsolete. DES has never been broken from the practical point of view. The triple DES is believed ...
Nicolas Courtois, Gregory V. Bard
114
Voted
INDOCRYPT
2010
Springer
14 years 10 months ago
Algebraic, AIDA/Cube and Side Channel Analysis of KATAN Family of Block Ciphers
Abstract. This paper presents the first results on AIDA/cube, algebraic and sidechannel attacks on variable number of rounds of all members of the KATAN family of block ciphers. Ou...
Gregory V. Bard, Nicolas Courtois, Jorge Nakahara,...
109
Voted
ADG
2006
Springer
204views Mathematics» more  ADG 2006»
15 years 6 months ago
Algorithmic Search for Flexibility Using Resultants of Polynomial Systems
This paper describes the recent convergence of four topics: polynomial systems, flexibility of three dimensional objects, computational chemistry, and computer algebra. We discuss...
Robert H. Lewis, Evangelos A. Coutsias
115
Voted
EUROCAST
1994
Springer
139views Hardware» more  EUROCAST 1994»
15 years 4 months ago
Illustrating Constraint Programming Systems in Logistic Planning
Logistic systems analysts use a wide array of modeling systems such as algebraic and logic programs. Two simple examples show how they mesh as Constraint Logic programs, emphasizin...
Jean-Michel Thizy
CADE
2008
Springer
15 years 2 months ago
Aligator: A Mathematica Package for Invariant Generation (System Description)
We describe the new software package Aligator for automatically inferring polynomial loop invariants. The package combines algorithms from symbolic summation and polynomial algebra...
Laura Kovács