@inproceedings{52866430e5e148d0a8bebf9e952ebc5f,
title = "On existence (Based on an arithmetical problem) and constructions of bent functions",
abstract = "Bent functions are maximally nonlinear Boolean functions. They are wonderful creatures introduced by O. Rothaus in the 1960{\textquoteright}s and studied firstly by J. Dillon since 1974. Using some involutions over finite fields, we present new constructions of bent functions in the line of recent Mesnager{\textquoteright}s works. One of the constructions is based on an arithmetical problem. We discuss existence of such bent functions using Fermat hypersurface and Lang-Weil estimations.",
keywords = "Arithmetic and geometric tools, Bent functions, Boolean functions, Finite fields",
author = "Sihem Mesnager and G{\'e}rard Cohen and David Madore",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2015.; 15th IMA International Conference on Cryptography and Coding, IMACC 2015 ; Conference date: 15-12-2015 Through 17-12-2015",
year = "2015",
month = jan,
day = "1",
doi = "10.1007/978-3-319-27239-9\_1",
language = "English",
isbn = "9783319272382",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "3--19",
editor = "Jens Groth",
booktitle = "Cryptography and Coding - 15th IMA International Conference, IMACC 2015, Proceedings",
}