Parallel Fast Walsh Transform Algorithm and Its Implementation with CUDA on GPUs

Parallel Fast Walsh Transform Algorithm and Its Implementation with CUDA on GPUs AbstractSome of the most important cryptographic characteristics of the Boolean and vector Boolean functions (nonlinearity, autocorrelation, differential uniformity) are connected with the Walsh spectrum. In this paper, we present several algorithms for computing the Walsh spectrum implemented in CUDA for parallel execution on GPU. They are based on the most popular sequential algorithm. The algorithms differ in the complexity of implementations, resources used, optimization strategies and techniques. In the end, we give some experimental results. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Cybernetics and Information Technologies de Gruyter

Parallel Fast Walsh Transform Algorithm and Its Implementation with CUDA on GPUs

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Publisher
Sciendo
Copyright
© 2018 Dusan Bikov et al., published by Sciendo
ISSN
1314-4081
eISSN
1314-4081
D.O.I.
10.2478/cait-2018-0018
Publisher site
See Article on Publisher Site

Abstract

AbstractSome of the most important cryptographic characteristics of the Boolean and vector Boolean functions (nonlinearity, autocorrelation, differential uniformity) are connected with the Walsh spectrum. In this paper, we present several algorithms for computing the Walsh spectrum implemented in CUDA for parallel execution on GPU. They are based on the most popular sequential algorithm. The algorithms differ in the complexity of implementations, resources used, optimization strategies and techniques. In the end, we give some experimental results.

Journal

Cybernetics and Information Technologiesde Gruyter

Published: May 1, 2018

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