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

Bikov, Dusan and Bouyukliev, Ilija (2018) Parallel Fast Walsh Transform Algorithm and Its Implementation with CUDA on GPUs. Cybernetics and Information Technologies, 18 (5). pp. 21-43. ISSN 1314-4081

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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.

Item Type: Article
Subjects: Natural sciences > Computer and information sciences
Natural sciences > Matematics
Divisions: Faculty of Computer Science
Depositing User: Dusan Bikov
Date Deposited: 29 May 2018 13:47
Last Modified: 29 May 2018 13:47
URI: https://eprints.ugd.edu.mk/id/eprint/20026

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