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Evolving Bent Quaternary Functions (CROSBI ID 667132)

Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija

Picek, Stjepan ; Knežević, Karlo ; Mariot, Luca ; Jakobović, Domagoj ; Leporati, Alberto Evolving Bent Quaternary Functions // 2018 IEEE Congress on Evolutionary Computation. 2018. str. 2584-2592 doi: 10.1109/CEC.2018.8477677

Podaci o odgovornosti

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

engleski

Evolving Bent Quaternary Functions

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.

quaternary Boolean functions ; heuristics ; bent functions ; cryptography ; evolutionary computation

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Podaci o prilogu

2584-2592.

2018.

objavljeno

10.1109/CEC.2018.8477677

Podaci o matičnoj publikaciji

2018 IEEE Congress on Evolutionary Computation

978-1-5090-6017-7

Podaci o skupu

2018 IEEE Congress on Evolutionary Computation (CEC)

predavanje

09.07.2018-13.07.2018

Rio de Janeiro, Brazil

Povezanost rada

Računarstvo

Poveznice