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CRYPTO
1993
Springer
159views Cryptology» more  CRYPTO 1993»
13 years 9 months ago
Comparison of Three Modular Reduction Functions
Three modular reduction algorithms for large integers are compared with respect to their performance in portable software: the classical algorithm, Barrett’s algorithm and Montgo...
Antoon Bosselaers, René Govaerts, Joos Vand...
ARITH
2007
IEEE
13 years 11 months ago
Fast Modular Reduction
It is widely acknowledged that efficient modular multiplication is a key to high-performance implementation of public-key cryptography, be it classical RSA, Diffie-Hellman, or (hy...
William Hasenplaugh, Gunnar Gaubatz, Vinodh Gopal
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
ASIACRYPT
1999
Springer
13 years 9 months ago
Fast Algorithms for Elliptic Curve Cryptosystems over Binary Finite Field
In the underlying finite field arithmetic of an elliptic curve cryptosystem, field multiplication is the next computational costly operation other than field inversion. We pres...
Yongfei Han, Peng-Chor Leong, Peng-Chong Tan, Jian...
CORR
2008
Springer
162views Education» more  CORR 2008»
13 years 5 months ago
Compressed Modular Matrix Multiplication
Matrices of integers modulo a small prime can be compressed by storing several entries into a single machine word. Modular addition is performed by addition and possibly subtracti...
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy