Probabilistic relations for transformations of finite vector spaces
Matematičeskie voprosy kriptografii, Tome 12 (2021), pp. 43-58

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Mappings of finite-dimensional vector spaces over a finite field defined by a functional scheme consisting of a linear medium and local nonlinear transformations are considered. Theorems on the exact values of probabilities that linear and difference relations are satisfied are proved. Formulas for these probabilities are expressed in terms of similar characteristics for local transformations.
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     author = {F. M. Malyshev},
     title = {Probabilistic relations for transformations of finite vector spaces},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {43--58},
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     year = {2021},
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     url = {http://geodesic.mathdoc.fr/item/MVK_2021_12_a2/}
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F. M. Malyshev. Probabilistic relations for transformations of finite vector spaces. Matematičeskie voprosy kriptografii, Tome 12 (2021), pp. 43-58. http://geodesic.mathdoc.fr/item/MVK_2021_12_a2/