Apply runs test to the following sequence:
1001101000010000101111011 0111010010110110010011010
0110011100001100100111000
1100001101010111101001110
0010001111000001101010010
1000110100000110100101101
1110001001
_______ ____ ___ ___ ________ _______ ______ __________ ___ __________ _______ ____.
_______ ___ ____ ____ ______ ___ ______ _______ _______.
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Apply the frequency test, serial test and autocorrelation test to the following sequence at level of significance :
011001110000110010011100.
Alice wants to send Bob the message . She chooses
. How will she compute the cipher text? What information does she send to Bob?
Find a recurrence that generates the sequence 110110110110110.
) Let . We represent the field
by
. Let us write
. The table of values is given below:
|
|
| Vector |
|
| Vector |
| 0 |
|
| 8 |
|
|
| 1 |
|
| 9 |
|
|
| 2 |
|
| 10 |
|
|
| 3 |
|
| 11 |
|
|
| 4 |
|
| 12 |
|
|
| 5 |
|
| 13 |
|
|
| 6 |
|
| 14 |
|
|
| 7 |
|
|
i) Prepare logarithm and antilogarithm tables as given in page 23 of block 1.
ii) Compute and
using the logarithm and antilogarithm tables
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?
Decrypt the message that was encrypted using RSA algorithm with
and
.
Bob uses ElGamal cryptosystem with parameters ,
and the secret value
. What values will he make public?