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/}
}
TY - JOUR AU - D. A. Burov TI - On scatter properties of modular addition operation over imprimitivity systems of the translation group of the binary vector space JO - Diskretnaya Matematika PY - 2021 SP - 3 EP - 40 VL - 33 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DM_2021_33_3_a0/ LA - ru ID - DM_2021_33_3_a0 ER -
%0 Journal Article %A D. A. Burov %T On scatter properties of modular addition operation over imprimitivity systems of the translation group of the binary vector space %J Diskretnaya Matematika %D 2021 %P 3-40 %V 33 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/DM_2021_33_3_a0/ %G ru %F DM_2021_33_3_a0
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/