Geodesic
On scatter properties of modular addition operation over imprimitivity systems of the translation group of the binary vector space
Diskretnaya Matematika, Tome 33 (2021) no. 3, pp. 3-40

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We study scatter properties of the modular addition operation for imprimitivity systems of the translation group of the binary vector space $V_n = \{0,1\}^n$. We describe all the subspaces of the space $V_n$ that induce imprimitivity systems with worst possible scatter by the modular addition operation.
Keywords: cryptographic algorithm, modular addition operation, scattering transformations, binary space, translation group, imprimitivity system. 
@article{DM_2021_33_3_a0,
     author = {D. A. Burov},
     title = {On scatter properties of modular addition operation over imprimitivity systems of the translation group of the binary vector space},
     journal = {Diskretnaya Matematika},
     pages = {3--40},
     publisher = {mathdoc},
     volume = {33},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2021_33_3_a0/}
}
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D. A. Burov. On scatter properties of modular addition operation over imprimitivity systems of the translation group of the binary vector space. Diskretnaya Matematika, Tome 33 (2021) no. 3, pp. 3-40. http://geodesic.mathdoc.fr/item/DM_2021_33_3_a0/