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Latin quandles and applications to cryptography. (English) Zbl 1491.20156

Summary: This work investigated some properties of Latin quandles that are applicable in cryptography. Four distinct cores of an Osborn loop (non-diassociative and non-power associative) were introduced and investigated. The necessary and sufficient 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 cryptography in some peculiar circumstances.

MSC:

20N05 Loops, quasigroups
20N02 Sets with a single binary operation (groupoids)
57K12 Generalized knots (virtual knots, welded knots, quandles, etc.)
94A60 Cryptography
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