Re: RSA Decryption

From: Mxsmanic (mxsmanic_at_hotmail.com)
Date: 11/19/04


Date: Fri, 19 Nov 2004 03:32:43 +0100

Thorben Grosser writes:

> Hy folks,
>
> I have been posed a question, and as i didn't get much out of google, I
> am asking you wheather you would help me to solve this problem:
>
> Nathaly wants to communicate to Daniel an important number, as well as
> she decides to encrypt this number using the RSA Encyption. She sends
> her the "message" (crypted): 7108707851160700458
> Daniels Public key is:
> - module N = 17401143680338538557
> - exponent e = 65537
> Surely, those numbers are too small to be confident. Findthe private
> exponent of daniel and the number crypted by Nathaly.
>
> can anyone help me out of this mess?

If d = the decryption exponent, then

1. Factor N into p and q.
2. Knowing that de = 1 mod ((p-1)(q-1)), solve for d.

The modulus in this case is quite small, so you should be able to factor
it without too much trouble.

-- 
Transpose hotmail and mxsmanic in my e-mail address to reach me directly.


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