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The Montgomery inverse and its applications

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1 Author(s)
Kaliski, B.S., Jr. ; RSA Lab., RSA Data Security Inc., Redwood City, CA, USA

The Montgomery inverse of b module a is b-12n mod a, where n is the number of bits in a. The right-shifting binary algorithm for modular inversion is shown naturally to compute the new inverse in fewer operations than the ordinary modular inverse. The new inverse facilitates recent work by Koc on modular exponentiation and has other applications in cryptography

Published in:

Computers, IEEE Transactions on  (Volume:44 ,  Issue: 8 )