<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Some 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.</p></abstract>

Some 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.

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

Institute of Mathematics and Informatics, Bulgarian Academy of Sciences

Cybernetics and Information Technologies

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Parallel Fast Walsh Transform Algorithm and Its Implementation with CUDA on GPUs"}

Some of the most important cryptographic characteristics of the Boolean and vector Boolean functions (nonlinearity, autocorrelation, differential uniformity)...

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

Published Online: May 26, 2018

Page range: 21 - 43

Received: Sep 28, 2017

Accepted: Nov 30, 2017

DOI: https://doi.org/10.2478/cait-2018-0018

Keywords
Walsh transform, CUDA C, GPU, Fast Walsh transform, Parallel algorithms

© 2018 Dusan Bikov et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: May 26, 2018

Page range: 21 - 43

Received: Sep 28, 2017

Accepted: Nov 30, 2017

DOI: https://doi.org/10.2478/cait-2018-0018

KeywordsWalsh transform, CUDA C, GPU, Fast Walsh transform, Parallel algorithms

© 2018 Dusan Bikov et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Walsh transform, CUDA C, GPU, Fast Walsh transform, Parallel algorithms