Geodesic
On values of the affine rank of the support of spectrum of a~plateaued function
Diskretnaya Matematika, Tome 18 (2006) no. 3, pp. 120-137

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We prove that the affine rank of any plateaued function with spectrum support of cardinality 16 is equal to 4, 5 or 6. For any positive integer $h$, we consider plateaued functions with spectrum support of cardinality $4^h$, give bounds for the affine rank of such functions and construct functions with affine rank equal to any possible value from $2h$ to $2^{h+1}-2$. 
@article{DM_2006_18_3_a9,
     author = {Yu. V. Tarannikov},
     title = {On values of the affine rank of the support of spectrum of a~plateaued function},
     journal = {Diskretnaya Matematika},
     pages = {120--137},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2006_18_3_a9/}
}
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Yu. V. Tarannikov. On values of the affine rank of the support of spectrum of a~plateaued function. Diskretnaya Matematika, Tome 18 (2006) no. 3, pp. 120-137. http://geodesic.mathdoc.fr/item/DM_2006_18_3_a9/