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IPL
1998
177views more  IPL 1998»
13 years 7 months ago
A Common-Multiplicand Method to the Montgomery Algorithm for Speeding up Exponentiation
A common-multiplicand method to the Montgomery algorithm makes an improvement in speed when the right-to-left binary exponentiation is applied. The idea is that the same common pa...
JaeCheol Ha, Sang-Jae Moon
ARITH
2007
IEEE
14 years 1 months ago
Modular Multiplication using Redundant Digit Division
Most implementations of the modular exponentiation, ME mod N, computation in cryptographic algorithms employ Montgomery multiplication, ABR−1 mod N, instead of modular multiplic...
Ping Tak Peter Tang
SIPS
2007
IEEE
14 years 1 months ago
Montgomery Modular Multiplication Algorithm on Multi-Core Systems
In this paper, we investigate the efficient software implementations of the Montgomery modular multiplication algorithm on a multi-core system. A HW/SW co-design technique is use...
Junfeng Fan, Kazuo Sakiyama, Ingrid Verbauwhede
ARITH
2005
IEEE
14 years 1 months ago
Fast Modular Reduction for Large Wordlengths via One Linear and One Cyclic Convolution
Abstract— Modular reduction is a fundamental operation in cryptographic systems. Most well known modular reduction methods including Barrett’s and Montgomery’s algorithms lev...
Dhananjay S. Phatak, Tom Goff
TIT
2011
152views more  TIT 2011»
13 years 1 months ago
Fast Exponentiation Using Split Exponents
Abstract—We propose a new method to speed up discrete logarithm (DL)-based cryptosystems by considering a new variant of the DL problem, where the exponents are formed as e1 + α...
Jung Hee Cheon, Stanislaw Jarecki, Taekyoung Kwon,...