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Efficient Subquadratic Space Complexity Binary Polynomial Multipliers Based on Block Recombination

delete2014-09-01
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M
Murat Cenk *
M
M. Anwar Hasan
C
Christophe Négre
DOI:10.1109/TC.2013.105delete
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Abstract

Abstract

En 中文
Some applications like cryptography involve a large number of multiplications of binary polynomial. In this paper, we consider two-, three-, and four-way methods for parallel implementation of binary polynomial multiplication. We propose optimized three-and four-way split formulas which reduce the space and time complexity of the best known methods. Moreover, we present a block recombination method which provides some further reduction in the space complexity of the considered two-, three-, and four-way split multipliers.
Keywords:
Binary polynomial multiplication
two-way
three-way
four-way split formulas
subquadratic space complexity
binary field
block recombination
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Journal

IEEE Transactions on Computers cover
IEEE Transactions on Computers
IF:
3.8
Papers:
5.3K
Citations:
9.8K

Organization

C
centre national de la recherche scientifique (cnrs)
Scholars:
24.5W
Papers: 18.2W
Citations: 279
U
University of Waterloo
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Papers: 2.3W
Citations: 3.3W