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IJNSEC
2010
324views more  IJNSEC 2010»
13 years 2 months ago
Computing the Modular Inverse of a Polynomial Function over GF(2P) Using Bit Wise Operation
Most public key crypto systems use finite field modulo arithmetic. This modulo arithmetic is applied on real numbers, binary values and polynomial functions. The computation cost ...
Rajaram Ramasamy, Amutha Prabakar Muniyandi
ANTS
2006
Springer
105views Algorithms» more  ANTS 2006»
13 years 11 months ago
A Modular Method for Computing the Splitting Field of a Polynomial
We provide a modular method for computing the splitting field Kf of an integral polynomial f by suitable use of the byproduct of computation of its Galois group Gf by p-adic Staudu...
Guénaël Renault, Kazuhiro Yokoyama
JSC
2010
155views more  JSC 2010»
13 years 6 months ago
Algorithms for solving linear systems over cyclotomic fields
We consider the problem of solving a linear system Ax = b over a cyclotomic field. What makes cyclotomic fields of special interest is that we can easily find a prime p that sp...
Liang Chen, Michael B. Monagan
MOC
2011
13 years 2 months ago
Computing systems of Hecke eigenvalues associated to Hilbert modular forms
We utilize effective algorithms for computing in the cohomology of a Shimura curve together with the Jacquet-Langlands correspondence to compute systems of Hecke eigenvalues assoc...
Matthew Greenberg, John Voight
CORR
2008
Springer
162views Education» more  CORR 2008»
13 years 7 months ago
Accelerating Scientific Computations with Mixed Precision Algorithms
On modern architectures, the performance of 32-bit operations is often at least twice as fast as the performance of 64-bit operations. By using a combination of 32-bit and 64-bit ...
Marc Baboulin, Alfredo Buttari, Jack Dongarra, Jak...