[47072] in Cypherpunks

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Re: p-NEW digital signatures

daemon@ATHENA.MIT.EDU (Matthew Ghio)
Fri Jan 12 14:50:49 1996

Date: Fri, 12 Jan 96 11:31 PST
From: ghio@c2.org (Matthew Ghio)
To: cypherpunks@toad.com

Kent Briggs <kbriggs@execpc.com> wrote:
>s is discarded and the signature is r and z.  The verification is:
>
>m=zy^r mod p
>
>This slows down the signing but speeds up the verification.  Here's the $64K
>question:  Does this compromise the signature's security?

Yes.  In this case a fake signature can be forged by picking a random r, and
then z can be calculated as:

z=my^(-r) mod p

No security at all.

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