Geodesic
The sum of modules of Walsh coefficients for some balanced Boolean functions
Matematičeskie voprosy kriptografii, Tome 8 (2017), pp. 75-98

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We consider the following balanced Boolean functions: a) constructed from normal bent-function by the Dobbertin method, b) majority function, c) functions whose units values are located consequentially in the truth table. Exact formulas and bounds for sums of modules of Walsh coefficients are obtained. 
@article{MVK_2017_8_a3,
     author = {O. V. Kamlovskii},
     title = {The sum of modules of {Walsh} coefficients for some balanced {Boolean} functions},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {75--98},
     publisher = {mathdoc},
     volume = {8},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2017_8_a3/}
}
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O. V. Kamlovskii. The sum of modules of Walsh coefficients for some balanced Boolean functions. Matematičeskie voprosy kriptografii, Tome 8 (2017), pp. 75-98. http://geodesic.mathdoc.fr/item/MVK_2017_8_a3/