Geodesic
On the weights of Boolean functions representable by $2$-CNF or $3$-CNF
Matematičeskie voprosy kriptografii, Tome 9 (2018) no. 1, pp. 5-26 
S. P. Gorshkov; A. V. Tarasov. On the weights of Boolean functions representable by $2$-CNF or $3$-CNF. Matematičeskie voprosy kriptografii, Tome 9 (2018) no. 1, pp. 5-26. http://geodesic.mathdoc.fr/item/MVK_2018_9_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Sets of possible values of weights of bijunctive Boolean functions ($2$-CNF) are found. For Boolean functions having all variables as essential ones we describe: sets of bijunctive functions with weight close (but not equal) to the maximal value and sets of functions of maximal weight represented as $3$-CNF. A hypothesis on the maximal weight of functions representable as $k$-CNF ($k \geqslant 4$) and having all variables as essential ones is formulated. Some sets of balanced Boolean functions representable as $k$-CNF are described.

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