<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

Pubblicato online: 26 mag 2018

Pagine: 21 - 43

Ricevuto: 28 set 2017

Accettato: 30 nov 2017

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

Parole chiave
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

Pubblicato online: 26 mag 2018

Pagine: 21 - 43

Ricevuto: 28 set 2017

Accettato: 30 nov 2017

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

Parole chiaveWalsh 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.

Parole chiave
Walsh transform, CUDA C, GPU, Fast Walsh transform, Parallel algorithms