Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  modify an algorithm given by Kaliski to compute the Montgomery inverse of an integer modulo a prime number.  also give a new definition of the Montgomery inverse, and introduce efficient algorithms for computing the classical modular inverse, the Kaliski-Montgomery inverse, and the new Montgomery inverse. The proposed algorithms are suitable for software implementations on general-purpose microprocessors.
['Erkay Savas', 'Çetin Kaya Koç']
I am writing a research paper on a idea The Montgomery modular inverse-revisited
[{"from": "human", "value": "I am writing a research paper on a idea The Montgomery modular inverse-revisited"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  modify an algorithm given by Kaliski to compute the Montgomery inverse of an integer modulo a prime number.  also give a new definition of the Montgomery inverse, and introduce efficient algorithms for computing the classical modular inverse, the Kaliski-Montgomery inverse, and the new Montgomery inverse. The proposed algorithms are suitable for software implementations on general-purpose microprocessors."}]