On the evolution of bent (n, m) functions
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- @InProceedings{picek:2017:CEC,
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author = "Stjepan Picek and Karlo Knezevic and
Domagoj Jakobovic",
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booktitle = "2017 IEEE Congress on Evolutionary Computation (CEC)",
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title = "On the evolution of bent (n, m) functions",
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year = "2017",
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editor = "Jose A. Lozano",
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pages = "2137--2144",
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address = "Donostia, San Sebastian, Spain",
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publisher = "IEEE",
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isbn13 = "978-1-5090-4601-0",
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abstract = "Boolean functions and 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 of obtaining
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 using 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 can 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 grows, we can observe
that evolutionary algorithms are still able to obtain
high quality results but with increasing difficulty.",
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keywords = "genetic algorithms, genetic programming, Boolean
functions, evolutionary computation, vectors, bent
functions, evolutionary algorithms, heuristic
techniques, input dimension, output dimension,
vectorial Boolean functions, Ciphers, Encoding",
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isbn13 = "978-1-5090-4601-0",
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DOI = "doi:10.1109/CEC.2017.7969563",
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month = "5-8 " # jun,
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notes = "IEEE Catalog Number: CFP17ICE-ART Also known as
\cite{7969563}",
- }
Genetic Programming entries for
Stjepan Picek
Karlo Knezevic
Domagoj Jakobovic
Citations