Geodesic
On the relationship between local affinities of a Boolean function and some types of its degeneracy
Diskretnaya Matematika, Tome 34 (2022) no. 2, pp. 7-25

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The paper studies the relationships between local affinities of a Boolean function and some notions of its degeneracy (differential degeneracy, algebraic degeneracy, affine splittability). New relations connecting the parameters of local affinities and degeneracies are obtained. Relationships between some types of degeneracy of Boolean functions are found.
Keywords: Boolean function, degeneracy, differential degeneracy, algebraic degeneracy, local affinity, affine splittability, linearity index, spectrum of Boolean function, spectrum support. 
@article{DM_2022_34_2_a1,
     author = {A. A. Babueva and O. A. Logachev and V. V. Yashchenko},
     title = {On the relationship between local affinities of a {Boolean} function and some types of its degeneracy},
     journal = {Diskretnaya Matematika},
     pages = {7--25},
     publisher = {mathdoc},
     volume = {34},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2022_34_2_a1/}
}
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A. A. Babueva; O. A. Logachev; V. V. Yashchenko. On the relationship between local affinities of a Boolean function and some types of its degeneracy. Diskretnaya Matematika, Tome 34 (2022) no. 2, pp. 7-25. http://geodesic.mathdoc.fr/item/DM_2022_34_2_a1/