Geodesic
On a recursive class of plateaued Boolean functions
Diskretnaya Matematika, Tome 22 (2010) no. 4, pp. 20-33 
A. O. Logachev. On a recursive class of plateaued Boolean functions. Diskretnaya Matematika, Tome 22 (2010) no. 4, pp. 20-33. http://geodesic.mathdoc.fr/item/DM_2010_22_4_a1/
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     author = {A. O. Logachev},
     title = {On a~recursive class of plateaued {Boolean} functions},
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     volume = {22},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2010_22_4_a1/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We investigate properties of a class of plateaued Boolean functions with support of the spectrum defined by a recursive class of matrices. For such supports of the spectrum, we find a precise number of functions with a given support. We also show that the set of these functions is the equivalence class of a function with this support of spectrum with respect to the group of shifts.

[1] Tarannikov Yu. V., “O znacheniyakh affinnogo ranga nositelya spektra platovidnoi funktsii”, Diskretnaya matematika, 18:3 (2006), 120–137 | MR | Zbl

[2] Logachev O. A., Salnikov A. A., Yaschenko V. V., Bulevy funktsii v teorii kodirovaniya i kriptografii, MTsNMO, Moskva, 2004

[3] Tarannikov Yu. V., “O korrelyatsionno-immunnykh i ustoichivykh bulevykh funktsiyakh”, Matematicheskie voprosy kibernetiki, 11, 2002, 91–148 | MR | Zbl