A Double Cryptography Using The Smarandache Keedwell Cross Inverse Quasigroup

TL;DR

This paper explores a novel double cryptography method using Smarandache Keedwell cross inverse quasigroups, enhancing cryptographic security through algebraic structures and isotopy-based encryption techniques.

Contribution

It introduces a new double encryption scheme employing Smarandache Keedwell CIPQs and establishes their properties via isotopy and automorphism groups.

Findings

Smarandache Keedwell CIPQs can be used for double encryption.

The paper proves the equivalence of SCIPQ properties under isotopy.

Procedures for implementing double cryptography with these quasigroups are provided.

Abstract

The present study further strengthens the use of the Keedwell CIPQ against attack on a system by the use of the Smarandache Keedwell CIPQ for cryptography in a similar spirit in which the cross inverse property has been used by Keedwell. This is done as follows. By constructing two S-isotopic S-quasigroups(loops) $U$ and $V$ such that their Smarandache automorphism groups are not trivial, it is shown that $U$ is a SCIPQ(SCIPL) if and only if $V$ is a SCIPQ(SCIPL). Explanations and procedures are given on how these SCIPQs can be used to double encrypt information.