article

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

Authors:

Iliya BouyuklievAuthors Info & Claims

Cybernetics and Information Technologies, Volume 18, Issue 5

Pages 21 - 43

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

Published: 01 May 2018 Publication History

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.

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Cited By

Shivdikar KBao YAgrawal RShen MJonatan GMora EIngare ALivesay NAbellÁN JKim JJoshi AKaeli D(2023)GME: GPU-based Microarchitectural Extensions to Accelerate Homomorphic EncryptionProceedings of the 56th Annual IEEE/ACM International Symposium on Microarchitecture10.1145/3613424.3614279(670-684)Online publication date: 28-Oct-2023
https://dl.acm.org/doi/10.1145/3613424.3614279
Marković IStojković S(2023)4-Valued spectral transforms implementation on GPU with Tensor CoresThe Journal of Supercomputing10.1007/s11227-022-04651-979:1(51-74)Online publication date: 1-Jan-2023
https://dl.acm.org/doi/10.1007/s11227-022-04651-9
AlShaikh M(2023)A novel tamper detection watermarking approach for improving image integrityMultimedia Tools and Applications10.1007/s11042-021-11840-w82:7(10039-10060)Online publication date: 1-Mar-2023
https://dl.acm.org/doi/10.1007/s11042-021-11840-w

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Published In

cover image Cybernetics and Information Technologies

Cybernetics and Information Technologies Volume 18, Issue 5

Special Thematic Issue on Optimal Codes and Related Topics

May 2018

91 pages

ISSN:1314-4081

EISSN:1314-4081

Issue’s Table of Contents

© 2018 Dusan Bikov et al., published by Sciendo.

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

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Walter de Gruyter GmbH

Berlin, Germany

Publication History

Published: 01 May 2018

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Cited By

Shivdikar KBao YAgrawal RShen MJonatan GMora EIngare ALivesay NAbellÁN JKim JJoshi AKaeli D(2023)GME: GPU-based Microarchitectural Extensions to Accelerate Homomorphic EncryptionProceedings of the 56th Annual IEEE/ACM International Symposium on Microarchitecture10.1145/3613424.3614279(670-684)Online publication date: 28-Oct-2023
https://dl.acm.org/doi/10.1145/3613424.3614279
Marković IStojković S(2023)4-Valued spectral transforms implementation on GPU with Tensor CoresThe Journal of Supercomputing10.1007/s11227-022-04651-979:1(51-74)Online publication date: 1-Jan-2023
https://dl.acm.org/doi/10.1007/s11227-022-04651-9
AlShaikh M(2023)A novel tamper detection watermarking approach for improving image integrityMultimedia Tools and Applications10.1007/s11042-021-11840-w82:7(10039-10060)Online publication date: 1-Mar-2023
https://dl.acm.org/doi/10.1007/s11042-021-11840-w

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