On a mnemonic construction of permutations

In the past when only “paper and pencil” ciphers were in use, a mnemonic Bellaso’s method was applied to obtain a permutation from a meaningful phrase. It turns out that even nowadays this method and its variations are employed and provide a simple but at the same time efficient tool for some cipher...

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Main Authors: Antal Eugen, Grošek Otokar, Horak Peter
Format: Article
Language:English
Published: De Gruyter 2017-03-01
Series:Journal of Mathematical Cryptology
Subjects:
Online Access:https://doi.org/10.1515/jmc-2016-0058
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spelling doaj-dff44ca41b704c62845e967bfc81ec932021-09-06T19:40:44ZengDe GruyterJournal of Mathematical Cryptology1862-29761862-29842017-03-01111455310.1515/jmc-2016-0058On a mnemonic construction of permutationsAntal Eugen0Grošek Otokar1Horak Peter2Slovak University of Technology, Bratislava, SlovakiaSlovak University of Technology, Bratislava, SlovakiaUniversity of Washington, Tacoma, WA, USAIn the past when only “paper and pencil” ciphers were in use, a mnemonic Bellaso’s method was applied to obtain a permutation from a meaningful phrase. It turns out that even nowadays this method and its variations are employed and provide a simple but at the same time efficient tool for some ciphers. To the best of our knowledge the security of such ciphers has not been evaluated yet in all respects. Therefore, in this paper we initiate a study of their security with respect to the probability distribution of permutations obtained by Bellaso’s method.https://doi.org/10.1515/jmc-2016-0058eulerian numberscryptographypermutations05c99
collection DOAJ
language English
format Article
sources DOAJ
author Antal Eugen
Grošek Otokar
Horak Peter
spellingShingle Antal Eugen
Grošek Otokar
Horak Peter
On a mnemonic construction of permutations
Journal of Mathematical Cryptology
eulerian numbers
cryptography
permutations
05c99
author_facet Antal Eugen
Grošek Otokar
Horak Peter
author_sort Antal Eugen
title On a mnemonic construction of permutations
title_short On a mnemonic construction of permutations
title_full On a mnemonic construction of permutations
title_fullStr On a mnemonic construction of permutations
title_full_unstemmed On a mnemonic construction of permutations
title_sort on a mnemonic construction of permutations
publisher De Gruyter
series Journal of Mathematical Cryptology
issn 1862-2976
1862-2984
publishDate 2017-03-01
description In the past when only “paper and pencil” ciphers were in use, a mnemonic Bellaso’s method was applied to obtain a permutation from a meaningful phrase. It turns out that even nowadays this method and its variations are employed and provide a simple but at the same time efficient tool for some ciphers. To the best of our knowledge the security of such ciphers has not been evaluated yet in all respects. Therefore, in this paper we initiate a study of their security with respect to the probability distribution of permutations obtained by Bellaso’s method.
topic eulerian numbers
cryptography
permutations
05c99
url https://doi.org/10.1515/jmc-2016-0058
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