Latin quandles and applications to cryptography

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.