Open AccessParallel Fast Walsh Transform Algorithm and Its Implementation with CUDA on GPUs
Author(s) -
Dusan Bikov,
Iliya Bouyukliev
Publication year - 2018
Publication title -
cybernetics and information technologies
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.272
H-Index - 17
eISSN - 1314-4081
pISSN - 1311-9702
DOI - 10.2478/cait-2018-0018
Subject(s) - computer science , cuda , cryptography , autocorrelation , implementation , parallel computing , boolean function , coprocessor , algorithm , theoretical computer science , mathematics , statistics , programming language
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.