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Multi-Precision Integer Multiplication for Cryptosystem

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This paper aims to present and analyze a GPU based fast and effective parallel algorithm to compute Multi-Precision Integer (MPI) multiplication using Fast Fourier Transform (FFT). Multiplying long integer is a fundamental operation in public-key cryptography such as RSA, ECC, Diffe-Hellman key exchange and other advanced cryptosystem etc. The speed of these algorithms directly depends on the computation of multiplying long integers. In this work, a newly proposed algorithm adapts the model of parallel processing and design of algorithm aims to accelerate the computation of MPI multiplication for public-key algorithm on the GPU. We explore the modern parallel hardware for computing MPI multiplication using FFT, a best asymptotic time complexity of O(nlogn) algorithm. We claim that, the best use of GPU for the efficient computation to accelerate the MPI multiplication using FFT for public-key cryptosystem is demonstrated in this work.
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Keywords: CUDA; FFT; GPU; Multi-Precision Multiplication; RSA

Document Type: Research Article

Affiliations: Department of Computer Science and Engineering, Visvesvaraya National Institute of Technology, Nagpur 440010, India

Publication date: July 1, 2018

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  • ADVANCED SCIENCE LETTERS is an international peer-reviewed journal with a very wide-ranging coverage, consolidates research activities in all areas of (1) Physical Sciences, (2) Biological Sciences, (3) Mathematical Sciences, (4) Engineering, (5) Computer and Information Sciences, and (6) Geosciences to publish original short communications, full research papers and timely brief (mini) reviews with authors photo and biography encompassing the basic and applied research and current developments in educational aspects of these scientific areas.
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