Latin quandles and applications to cryptography
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Date
2021
Authors
Isere, Abednego Orobosa
Adéníran, John Olúsolá
Jaiyéolá, Temitópé Gbóláhán
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Mark
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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Abstract
This work investigated some properties of Latin quandles that are ap-plicable in cryptography. Four distinct cores of an Osborn loop (non-diassociativeand non-power associative) were introduced and investigated. The necessary andsufficient conditions for these cores to be (i) (left) quandles (ii) involutory quandles(iii) quasi-Latin quandles and (iv) involutory quasi-Latin quandles were established.These conditions were judiciously used to build cipher algorithms for cryptographyin some peculiar circumstances.
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Mathematics for Applications. 2021 vol. 10, č. 1, s. 37-53. ISSN 1805-3629
http://ma.fme.vutbr.cz/archiv/10_1/ma_10_1_isere_et_al_final.pdf
http://ma.fme.vutbr.cz/archiv/10_1/ma_10_1_isere_et_al_final.pdf
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Peer-reviewed
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en
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© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky