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ANTS
2010
Springer
263views Algorithms» more  ANTS 2010»
13 years 9 months ago
Computing Automorphic Forms on Shimura Curves over Fields with Arbitrary Class Number
We extend methods of Greenberg and the author to compute in the cohomology of a Shimura curve defined over a totally real field with arbitrary class number. Via the Jacquet-Langlan...
John Voight
ASAP
2004
IEEE
141views Hardware» more  ASAP 2004»
13 years 10 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
EUROCRYPT
2009
Springer
14 years 7 months ago
Double-Base Number System for Multi-scalar Multiplications
Abstract. The Joint Sparse Form is currently the standard representation system to perform multi-scalar multiplications of the form [n]P + m[Q]. We introduce the concept of Joint D...
Christophe Doche, David R. Kohel, Francesco Sica
COMSWARE
2007
IEEE
14 years 21 days ago
A Parallelization of ECDSA Resistant to Simple Power Analysis Attacks
The Elliptic Curve Digital Signature Algorithm admits a natural parallelization wherein the point multiplication step can be split in two parts and executed in parallel. Further pa...
Sarang Aravamuthan, Viswanatha Rao Thumparthy
IJNSEC
2008
106views more  IJNSEC 2008»
13 years 6 months ago
Parallel Hardware Architectures for the Cryptographic Tate Pairing
Identity-based cryptography uses pairing functions,which are sophisticated bilinear maps defined on elliptic curves.Computing pairings efficiently in software is presently a relev...
Guido Marco Bertoni, Luca Breveglieri, Pasqualina ...