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CORR
2008
Springer
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14 years 9 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
15 years 2 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
15 years 2 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
15 years 3 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...