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AINA
2003
IEEE
13 years 10 months ago
Fast Algorithms for Common-Multiplicand Multiplication and Exponentiation by Performing Complements
The multiplications of common multiplicands and exponentiations of large integers with a large modulus are the primary computation operations in several well-known public key cryp...
Chin-Chen Chang, Ying-Tse Kuo, Chu-Hsing Lin
IPL
1998
177views more  IPL 1998»
13 years 4 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
CHES
2007
Springer
126views Cryptology» more  CHES 2007»
13 years 11 months ago
How to Maximize the Potential of FPGA Resources for Modular Exponentiation
This paper describes a modular exponentiation processing method and circuit architecture that can exhibit the maximum performance of FPGA resources. The modular exponentiation arch...
Daisuke Suzuki
CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 4 months ago
Power Series Composition and Change of Basis
Efficient algorithms are known for many operations on truncated power series (multiplication, powering, exponential, . . . ). Composition is a more complex task. We isolate a larg...
Alin Bostan, Bruno Salvy, Éric Schost
ARITH
2005
IEEE
13 years 10 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