Geodesic
Connections between quaternary and Boolean bent functions
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 561-578

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Boolean bent functions were introduced by Rothaus (1976) as combinatorial objects related to difference sets, and have since enjoyed a great popularity in symmetric cryptography and low correlation sequence design. In this paper connections between classical Boolean bent functions, generalized Boolean bent functions and quaternary bent functions are studied. We also study Gray images of bent functions and notions of generalized nonlinearity for functions that are relevant to generalized linear cryptanalysis.
Keywords: Boolean functions, generalized Boolean functions, quaternary functions, bent functions, semi bent functions, nonlinearity, linear cryptanalysis, Gray map, $\mathbb{Z}_4$-linear codes. 
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     author = {N. N. Tokareva and A. S. Shaporenko and P. Sol\'e},
     title = {Connections between quaternary and {Boolean} bent functions},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {561--578},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a18/}
}
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N. N. Tokareva; A. S. Shaporenko; P. Solé. Connections between quaternary and Boolean bent functions. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 561-578. http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a18/