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This article is cited in 4 scientific papers (total in 4 papers)
Nonlinear permutations of a space over a finite field induced by linear transformations of a module over a Galois ring
A. A. Nechaeva, A. V. Abornevb a Academy of Cryptography of the Russian Federation, Moscow
b LLC "Certification Research Center", Moscow
Abstract:
Nonlinear permutations of $m$-dimensional vector space $P^{(m)}$ over a finite field $P=\mathrm{GF}(q)$ induced by linear transforms of a module $R^{(m)}$ over a Galois ring $R=\mathrm{GR}(q^2,p^2)$, $q=p^r$, are constructed. The transforms constructed by iteration of linear recurrent transforms are studied separately. Some applications in cryptography are discussed.
Key words:
digit-permutable matrix, DP-matrix, digit-permutable polynomial, DP-polynomial, Galois ring, block ciphering system.
Received 18.IX.2012
Citation:
A. A. Nechaev, A. V. Abornev, “Nonlinear permutations of a space over a finite field induced by linear transformations of a module over a Galois ring”, Mat. Vopr. Kriptogr., 4:2 (2013), 81–100
Linking options:
https://www.mathnet.ru/eng/mvk85https://doi.org/10.4213/mvk85 https://www.mathnet.ru/eng/mvk/v4/i2/p81
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Abstract page: | 532 | Full-text PDF : | 252 | References: | 62 |
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