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 ______ _____ ___ ______ ___ _____ ________ __________.
_______ ___ _________ ______ _____ ______ _________ ____ ___.
_______ ______ _________ ____ _________ ___ ________ _____.
_______ __________ ____ ___ _____ _________.
_____ ___ __________ __________ ______ __________ ______ ______ ____.
________ __________ _______ ___ ____.
________ ________ _________ _________ ________ ___ ______ _________ ______.
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____ __________ _________ __________.
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Find a recurrence that generates the sequence 110110110110110.
Apply runs test to the following sequence:
1001101000010000101111011 0111010010110110010011010
0110011100001100100111000
1100001101010111101001110
0010001111000001101010010
1000110100000110100101101
1110001001
Alice wants to use the Digital Signature algorithm for signing messages. She chooses ,
,
and
. Alice wants to sign the message
. She chooses the secret value
. Explain the procedure that Alice will use for computing the signature. What information will she send Bob?
Decrypt the ciphertext 101000111001 which was encrypted with the Toy block cipher once using the key 101010010. Show all the steps.
b) A 64 bit key for the DES is given below 11000111
10000101
11110111
11000001
11111011
10101011
10011101
10010001
i) Check whether the key is error free using the parity bits.
Decrypt the message that was encrypted using RSA algorithm with
and
.
Explain how Bob will decrypt the message.
9) a) Solve the discrete logarithm problem using Baby-Step, Giant-Step algorithm.
Decrypt each of the following cipher texts:
i) Text: "CBBGYAEBBFZCFEPXYAEBB", encrypted with affine cipher with key (7,2).
ii) Text:"KSTYZKESLNZUV", encrypted with Vigenère cipher with key "RESULT".
b) Another version of the columnar transposition cipher is the cipher using a key word. In this cipher, we encrypt as follows: Given a key word, we remove all the duplicate characters in the key word. For example, if the key word is ‘SECRET’, we remove the second ‘E’ and use ‘SECRT’ as the key word. To encrypt, we form a table as follows: In the first row, we write down the key word. In the following rows, we write the plaintext. Suppose we want to encrypt the text ‘ATTACKATDAWN’. We make a table as follows:
| S | E | C | R | T |
| A | T | T | A | C |
| K | A | T | D | A |
| W | N | X | X | X |