Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  provide a convenient mathematical framework that essentially encompasses all known pairing functions based on the Tate pairing and also applies to the il pairing.  prove non-degeneracy and bounds on the lost possible degree of these pairing functions and show how endomorphisms can be used to achieve a further degree reduction.
['Florian Hess']
I am writing a research paper on a idea Pairing Lattices
[{"from": "human", "value": "I am writing a research paper on a idea Pairing Lattices"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  provide a convenient mathematical framework that essentially encompasses all known pairing functions based on the Tate pairing and also applies to the il pairing.  prove non-degeneracy and bounds on the lost possible degree of these pairing functions and show how endomorphisms can be used to achieve a further degree reduction."}]