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» Long Modular Multiplication for Cryptographic Applications
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FPL
2010
Springer
180views Hardware» more  FPL 2010»
13 years 4 months ago
A Karatsuba-Based Montgomery Multiplier
Abstract--Modular multiplication of long integers is an important building block for cryptographic algorithms. Although several FPGA accelerators have been proposed for large modul...
Gary Chun Tak Chow, Ken Eguro, Wayne Luk, Philip L...
DSD
2006
IEEE
135views Hardware» more  DSD 2006»
13 years 10 months ago
Hardware-Software Codesign of a Vector Co-processor for Public Key Cryptography
Until now, most cryptography implementations on parallel architectures have focused on adapting the software to SIMD architectures initially meant for media applications. In this ...
Jacques J. A. Fournier, Simon W. Moore
ITCC
2005
IEEE
13 years 12 months ago
Applications of The Montgomery Exponent
We define here the Montgomery Exponent of order s, modulo the odd integer N, by MEXP = MEXP(A, X, N, s) = AX 2−s(X−1) (mod N), and illustrate some properties and usage of thi...
Shay Gueron, Or Zuk
ARITH
2009
IEEE
14 years 1 months ago
Selected RNS Bases for Modular Multiplication
The selection of the elements of the bases in an RNS modular multiplication method is crucial and has a great impact in the overall performance. This work proposes specific sets ...
Jean-Claude Bajard, Marcelo E. Kaihara, Thomas Pla...
CSFW
2012
IEEE
11 years 8 months ago
Verifying Privacy-Type Properties in a Modular Way
—Formal methods have proved their usefulness for analysing the security of protocols. In this setting, privacy-type security properties (e.g. vote-privacy, anonymity, unlinkabili...
Myrto Arapinis, Vincent Cheval, Stéphanie D...