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ASIACRYPT
1999
Springer
14 years 3 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...
ARITH
2005
IEEE
14 years 4 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