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Evolving Bent Quaternary Functions


Picek, Stjepan; Knežević, Karlo; Mariot, Luca; Jakobović, Domagoj; Leporati, Alberto
Evolving Bent Quaternary Functions // 2018 IEEE Congress on Evolutionary Computation
Rio de Janeiro, Brazil, 2018. str. 2584-2592 doi:10.1109/CEC.2018.8477677 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)


Naslov
Evolving Bent Quaternary Functions

Autori
Picek, Stjepan ; Knežević, Karlo ; Mariot, Luca ; Jakobović, Domagoj ; Leporati, Alberto

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
2018 IEEE Congress on Evolutionary Computation / - , 2018, 2584-2592

ISBN
978-1-5090-6017-7

Skup
IEEE Congress on Evolutionary Computation

Mjesto i datum
Rio de Janeiro, Brazil, 08-13.07.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Quaternary Boolean functions ; heuristics ; bent functions ; cryptography ; evolutionary computation

Sažetak
Boolean functions have a prominent role in many real-world applications, which makes them a very active research domain. Throughout the years, various heuristic techniques proved to be an attractive choice for the construction of Boolean functions with different properties. One of the most important properties is nonlinearity, and in particular maximally nonlinear Boolean functions are also called bent functions. In this paper, instead of considering Boolean functions, we experiment with quaternary functions. The corresponding problem is much more difficult and presents an interesting benchmark as well as real-world applications. The results we obtain show that evolutionary metaheuristics, especially genetic programming, succeed in finding quaternary functions with the desired properties. The obtained results in the quaternary domain can also be translated into the binary domain, in which case this approach compares favorably with the state-of-the-art in Boolean optimization. Our techniques are able to find quaternary bent functions for up to 8 inputs, which corresponds to obtaining Boolean bent functions of 16 inputs.

Izvorni jezik
Engleski

Znanstvena područja
Računarstvo



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2014-09-4882 - Heuristička optimizacija u kriptologiji (Domagoj Jakobović, )

Ustanove
Fakultet elektrotehnike i računarstva, Zagreb