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» Fast Integer Multiplication using Modular Arithmetic
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SPAA
1990
ACM
15 years 1 months ago
Hardware Speedups in Long Integer Multiplication
We present various experiments in Hardware/Software designtradeoffs met in speeding up long integer multiplications. This work spans over a year, with more than 12 different hardw...
Mark Shand, Patrice Bertin, Jean Vuillemin
64
Voted
IPL
1998
177views more  IPL 1998»
14 years 9 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
FOCS
2000
IEEE
15 years 1 months ago
Computing the Determinant and Smith Form of an Integer Matrix
A probabilistic algorithm is presented to find the determinant of a nonsingular, integer matrix. For a matrix A ¡£¢ n¤ n the algorithm requires O¥ n3¦5 ¥ logn§ 4¦5§ bit...
Wayne Eberly, Mark Giesbrecht, Gilles Villard
CORR
2007
Springer
114views Education» more  CORR 2007»
14 years 9 months ago
Fast Recursive Coding Based on Grouping of Symbols
— A novel fast recursive coding technique is proposed. It operates with only integer values not longer 8 bits and is multiplication free. Recursion the algorithm is based on indi...
Nikolay N. Ponomarenko, Vladimir V. Lukin, Karen O...
79
Voted
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