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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
An early proposal for a digital signature scheme using symmetric encryption is based on the following. To sign an -bit message, the sender randomly generates in advance 2n56-bit cryptographic keys:
k1, K1, k2, K2, . . . ,kn, Kn
which are kept private. The sender prepares in advance two sets of corresponding non-secret 64-bit validationparameters, which are made public:
u1, U1, u2, U2, . . . ,un, Un and v1, V1, v2, V2, . . . , vn, Vn
where
vi= E(ki, ui), Vi = E(ki, Ui)
The message is signed as follows. For the th bit of the message, either or isattached to the message, depending on whether the message bit is 0 or 1. For example,if the first three bits of the message are 011, then the first three keys of the signatureare  k1K2 K3.
a. How does the receiver validate the message?
b. Is the technique secure?
c. How many times can the same set of secret keys be safely used for differentmessages?
d. What, if any, practical problems does this scheme present?
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