  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.
