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CORR
2008
Springer
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13 years 4 months ago
On the Weight Distribution of the Extended Quadratic Residue Code of Prime 137
The Hamming weight enumerator function of the formally self-dual even, binary extended quadratic residue code of prime p = 8m + 1 is given by Gleason's theorem for singly-eve...
Cen Tjhai, Martin Tomlinson, Marcel Ambroze, Moham...
AINA
2003
IEEE
13 years 9 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
ESAS
2005
Springer
13 years 10 months ago
An Advanced Method for Joint Scalar Multiplications on Memory Constraint Devices
Abstract. One of the most frequent operations in modern cryptosystems is a multi-scalar multiplication with two scalars. Common methods to compute it are the Shamir method and the ...
Erik Dahmen, Katsuyuki Okeya, Tsuyoshi Takagi
ARITH
2009
IEEE
13 years 11 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...