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This article is cited in 1 scientific paper (total in 1 paper)
Development of one approach to constructing a set of block bijective transformations
I. V. Cherednik MIREA — Russian Technological University (RTU MIREA), Moscow
Abstract:
Elementary transformations are defined for finite sets of formulas in the signature $ \{*, \backslash, /\}$. A constructive description is given for the set of collections of formulas $ (w_1, \ldots, w_n) $ in variables $ x_1, \ldots, x_n $ such that for any choice of binary quasigroup (binary operation invertible in a right variable) over a finite set $\Omega$ the collection implements block bijective transformations $\Omega^n \to \Omega^n $. Collections of formulas which allow to perform calculations without using additional memory are considered separately.
Key words:
block bijective transformations, quasigroups, binary operations invertible in the second variable.
Received 12.V.2021
Citation:
I. V. Cherednik, “Development of one approach to constructing a set of block bijective transformations”, Mat. Vopr. Kriptogr., 12:3 (2021), 49–66
Linking options:
https://www.mathnet.ru/eng/mvk375https://doi.org/10.4213/mvk375 https://www.mathnet.ru/eng/mvk/v12/i3/p49
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Abstract page: | 187 | Full-text PDF : | 62 | References: | 20 | First page: | 4 |
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