Bob uses ElGamal cryptosystem with parameters ,
and the secret value
. What values will he make public?
In the ElGamal cryptosystem, Bob’s public information consists of the prime modulus (p), the generator (g), _________ _______ ________ _____ ____ ________ _________ _____.
_________ __________ _____ _______ ________ ___ _______ ______ ___ __________ _____.
_____ ____ ___ ________ ______ ______.
__________ ________ _________ ____ _______ _____.
______ _____ _______ _______ __________ __________ _______ ___ _______.
_____ ___ _______ ___ ____ ____.
__________ ___ ___ ___ _________ ____.
___ _____ ____ _____ ________ __________ _________ __________ ____.
_______ ________ ______ ___ ________ _______ ____.
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Apply poker test to the following sequence with level of significance .
1001101000010000101111011
01110100101101100100110.
Apply the frequency test, serial test and autocorrelation test to the following sequence at level of significance :
011001110000110010011100.
Explain how Bob will decrypt the message.
9) a) Solve the discrete logarithm problem using Baby-Step, Giant-Step algorithm.
Alice wants to use the ElGamal digital signature scheme with public parameters ,
, secret value
and
. She wants to sign the message
and send it to Bob. She chooses
as the secret value. Explain the procedure that Alice will use for computing the signature of the message. What information will she send Bob?
Find the inverse of 13 (mod 51) using extended euclidean algorithm.
Find the keys for the second round.
6) a) Considering the bytes 10001001 and 10101010 as elements of the field , where g(X) is the polynomial X8 + X4 + X3 + X + 1, find their product and quotient.
Find a recurrence that generates the sequence 110110110110110.