On the evolution of bent (n, m) functions (CROSBI ID 651564)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Picek, Stjepan ; Knežević, Karlo ; Jakobović, Domagoj
engleski
On the evolution of bent (n, m) functions
Boolean functions as well as their generalizations, vectorial Boolean functions are extremely active areas of research. Their applications can be found in domains such as error correcting codes, communication, and cryptography. Accordingly, various methods how to obtain Boolean functions are explored where one group belongs to heuristic techniques and more precisely, evolutionary algorithms. In this paper we explore how to evolve (vectorial) Boolean functions with specific properties by utilizing several different algorithms and encodings. As far as we are aware, we are the first to explore the topic of evolution of vectorial Boolean functions where the output dimension is strictly smaller than the input dimension. Our results show that evolutionary algorithms represent a valuable option to produce vectorial Boolean functions where good results are obtained for various sizes. On the other hand, as the number of outputs grow, we can observe that evolutionary algorithms are still able to obtain high quality results but with much more difficulty.
boolean functions, bent functions, evolutionary, cryptography
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Podaci o prilogu
2137-2144.
2017.
objavljeno
Podaci o matičnoj publikaciji
2017 IEEE Congress on Evolutionary Computation
Lozano, Jose A.
978-1-5090-4601-0
Podaci o skupu
CEC
predavanje
05.06.2017-08.06.2017
Donostia-San Sebastián, Španjolska