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EUROCRYPT
2012
Springer
13 years 9 days ago
Improving the Complexity of Index Calculus Algorithms in Elliptic Curves over Binary Fields
Abstract. The goal of this paper is to further study the index calculus method that was first introduced by Semaev for solving the ECDLP and later developed by Gaudry and Diem. In...
Jean-Charles Faugère, Ludovic Perret, Chris...
COLT
2000
Springer
15 years 2 months ago
Average-Case Complexity of Learning Polynomials
The present paper deals with the averagecase complexity of various algorithms for learning univariate polynomials. For this purpose an appropriate framework is introduced. Based o...
Frank Stephan, Thomas Zeugmann
DATE
1999
IEEE
101views Hardware» more  DATE 1999»
15 years 2 months ago
Polynomial Methods for Allocating Complex Components
Methods for performing component matching by expressing an arithmetic specification and a bit-level description of an implementation as word-level polynomials have been demonstrat...
James Smith, Giovanni De Micheli
FOCM
2008
76views more  FOCM 2008»
14 years 10 months ago
On Smale's 17th Problem: A Probabilistic Positive Solution
Smale's 17th Problem asks "Can a zero of n complex polynomial equations in n unknowns be found approximately, on the average [for a suitable probability measure on the s...
Carlos Beltrán, Luis Miguel Pardo
MST
2011
231views Hardware» more  MST 2011»
14 years 22 days ago
On the Complexity of Matroid Isomorphism Problem
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σ p 2. In the case of linear matroids, which are represented over pol...
B. V. Raghavendra Rao, Jayalal M. N. Sarma