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Academic paper related to mathematics of cryptography
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mahaju


Joined: 11 Oct 2010
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PostPosted: Mon 21 Nov 2011, 02:09    Post_subject:  Academic paper related to mathematics of cryptography  

Has anybody read the paper "The Montgomery Inverse and it's Applications" by Kaliski (published 1995) ?
Can you please explain theorem 3 in that paper?
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aarf

Joined: 30 Aug 2007
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PostPosted: Mon 21 Nov 2011, 02:58    Post_subject:  

i read this much

Quote:
Abstract

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
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and didnt read any more
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mahaju


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PostPosted: Mon 21 Nov 2011, 02:59    Post_subject:  

good for you
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aarf

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PostPosted: Mon 21 Nov 2011, 03:05    Post_subject:  

there is a bit more here but coudnt be bothered.
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.75.8377&rep=rep1&type=pdf &
http://www.uclouvain.be/crypto/services/download/publications.pdf.a0c84b8a0ab43819.7064663231372e706466.pdf

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