Maurice Tutor

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Teaching Since: May 2017
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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 23 Sep 2017 My Price 5.00

global elliptic curve,

Here is an improved version of the scheme given in the previous problem. As before, we have a global elliptic curve, prime , and “generator” . Alice picks a private signing key XAand forms the public verifying key YA= XAG

.To sign a message M:

• Bob picks a value k.

• Bob sends Alice C1= kG.

• Alice sends Bob and the signature S = M – XAC1.

• Bob verifies that M = S + kYA.

a. Show that this scheme works. That is, show that the verification process produces an equality if the signature is valid.

b. Show that forging a message in this scheme is as hard as breaking (ElGamal) elliptic curve cryptography. (Or find an easier way to forge a message?)

c. This scheme has an extra “pass” compared to other cryptosystems and signature schemes we have looked at. What are some drawbacks to this?

Answers

Maurice Tutor
(5)
Status NEW Posted 23 Sep 2017 09:09 AM My Price 5.00

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