Abstract
In this paper, we classify all formally self-dual Boolean functions and self-dual bent functions under the action of the extended symmetric group in 2,4 variables, and give a lower bound for the number of non-equivalent functions in 6 variables. There are exactly 2,91 (1,3 respectively) and at least 5535376 representatives from equivalence class of formally self-dual Boolean functions (self-dual bent functions respectively).
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Sok, L., Solé, P. (2012). On Formally Self-dual Boolean Functions in 2,4 and 6 Variables. In: Özbudak, F., Rodríguez-Henríquez, F. (eds) Arithmetic of Finite Fields. WAIFI 2012. Lecture Notes in Computer Science, vol 7369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31662-3_6
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DOI: https://doi.org/10.1007/978-3-642-31662-3_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31661-6
Online ISBN: 978-3-642-31662-3
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