Geodesic
Lower estimate for the cardinality of the domain of universal functions for the class of linear Boolean functions
Diskretnaya Matematika, Tome 28 (2016) no. 4, pp. 50-57.

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The paper puts forward a nontrivial lower estimate $2\frac16n$ for the cardinality of the domain of a universal function for the class of linear Boolean functions, where $n$ is the number of variables.
Keywords: linear function, function, universal function. 
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A. A. Voronenko; M. N. Vyalyi. Lower estimate for the cardinality of the domain of universal functions for the class of linear Boolean functions. Diskretnaya Matematika, Tome 28 (2016) no. 4, pp. 50-57. http://geodesic.mathdoc.fr/item/DM_2016_28_4_a4/

[1] Voronenko A. A., “On universal functions for the set of linear functions”, Discrete Math. Appl., 22:4 (2012), 421–425 | DOI | DOI | MR | Zbl

[2] Voronenko A. A., Kaftan D. V., “On the generation of false images of linear Boolean functions”, Moscow Univ. Comput. Math. Cybern., 38:4 (2014), 174–176 | DOI | MR | Zbl