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Usage of GPU-based architectures for scientific computing has been steadily increasing in the last years. This new paradigm for both programming and execution has been applied to solve several classic problems much faster than using the conventional multiprocessor and/or multicomputer approach. These architectures allow an increase in performance -- compared to conventional CPU processors -- for specific...
This paper presents a high performance algorithm for modular multiplication on a graphics processing unit (GPU) implemented in assembler. The proposed algorithm carries out finite field multiplication over the NIST prime fields of size 192, 224, 256 and 384 bits. Included is a detailed explanation of our algorithm, an instruction count analysis, and a comparison to recently published work; compared...
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