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The Montgomery modular inverse-revisited

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2 Author(s)
Savas, E. ; Dept. of Electr. & Comput. Eng., Oregon State Univ., Corvallis, OR, USA ; Koc, C.K.

We modify an algorithm given by Kaliski to compute the Montgomery inverse of an integer modulo a prime number. We 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

Published in:

Computers, IEEE Transactions on  (Volume:49 ,  Issue: 7 )