What is it about?

It deduces three new identities in left universal Osborn loops that are appropriate foe cryptography.

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Why is it important?

The three new cryptographic identities have higher degrees.


I recommend them for or cryptography in a similar spirit in which the cross inverse property(of degree 2) has been used by Keedwell following the fact that it was observed that left universal Osborn loops that do not have the 3-power associative property or weaker forms of; inverse property, power associativity and diassociativity to mention a few, will have cycles (even long ones).

Professor Temitope Gbolahan Jaiyeola
Obafemi Awolowo University

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This page is a summary of: On three cryptographic identities in left universal Osborn loops, Journal of Discrete Mathematical Sciences and Cryptography, February 2011, Taylor & Francis,
DOI: 10.1080/09720529.2011.10698322.
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