<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

Publicado en línea: 26 may 2018

Páginas: 21 - 43

Recibido: 28 sept 2017

Aceptado: 30 nov 2017

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

Palabras clave
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

Publicado en línea: 26 may 2018

Páginas: 21 - 43

Recibido: 28 sept 2017

Aceptado: 30 nov 2017

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

Palabras claveWalsh 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.

Palabras clave
Walsh transform, CUDA C, GPU, Fast Walsh transform, Parallel algorithms