A Double Cryptography Using The Keedwell Cross Inverse Quasigroup
| dc.creator | Jaiyeola, Temitope Gbolahan | |
| dc.creator | Adeniran, John Olusola | |
| dc.date | 2008-02-11 | |
| dc.date.accessioned | 2026-07-07T09:19:54Z | |
| dc.date.available | 2026-07-07T09:19:54Z | |
| dc.description | The present study further strenghtens the use of the Keedwell CIPQ against attack on a system. This is done as follows. The holomorphic structure of AIPQs(AIPLs) and CIPQs(CIPLs) are investigated. Necessary and sufficient conditions for the holomorph of a quasigroup(loop) to be an AIPQ(AIPL) or CIPQ(CIPL) are established. It is shown that if the holomorph of a quasigroup(loop) is a AIPQ(AIPL) or CIPQ(CIPL), then the holomorph is isomorphic to the quasigroup(loop). Hence, the holomorph of a quasigroup(loop) is an AIPQ(AIPL) or CIPQ(CIPL) if and only if its automorphism group is trivial and the quasigroup(loop) is a AIPQ(AIPL) or CIPQ(CIPL). Furthermore, it is discovered that if the holomorph of a quasigroup(loop) is a CIPQ(CIPL), then the quasigroup(loop) is a flexible unipotent CIPQ(flexible CIPL of exponent 2). By constructing two isotopic quasigroups(loops) $U$ and $V$ such that their automorphism groups are not trivial, it is shown that $U$ is a AIPQ or CIPQ(AIPL or CIPL) if and only if $V$ is a AIPQ or CIPQ(AIPL or CIPL). Explanations and procedures are given on how these CIPQs can be used to double encrypt information. | |
| dc.description | 8 pages, submitted for publication | |
| dc.identifier | https://arxiv.org/abs/0802.1428 | |
| dc.identifier | http://arxiv.org/abs/0802.1428 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154561 | |
| dc.subject | General Mathematics | |
| dc.title | A Double Cryptography Using The Keedwell Cross Inverse Quasigroup | |
| dc.type | text |