Geodesic
On a property of quadratic Boolean functions
Matematičeskie voprosy kriptografii, Tome 5 (2014) no. 2, pp. 79-85 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let a Boolean function $f$ in $2k$ variables be affine on an affine subspace of dimension $k$ if and only if $f$ is affine on any its shift. Then it is proved that algebraic degree of $f$ may be more than 2 only if there is no affine subspace of dimension $k$ that $f$ is affine on it. 
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N. A. Kolomeec. On a property of quadratic Boolean functions. Matematičeskie voprosy kriptografii, Tome 5 (2014) no. 2, pp. 79-85. http://geodesic.mathdoc.fr/item/MVK_2014_5_2_a8/

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