ocibicur mic (a) A person with public key (31, 2, 22) and private key k = 17 wishes to sign a message whose first plaintext block is B = 14. If 13 is the integer chosen to construct the signature, obtain the signature produced by the EIGamal algorithm. (b) Confirm the validity of this signature. %3D
ocibicur mic (a) A person with public key (31, 2, 22) and private key k = 17 wishes to sign a message whose first plaintext block is B = 14. If 13 is the integer chosen to construct the signature, obtain the signature produced by the EIGamal algorithm. (b) Confirm the validity of this signature. %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
5
![the
equality of
the pair (5, 16). On its arrıval,
the integers V1 and V2:
V = 225 . 516 = 39 · 40 = 12 (mod 43)
V2 = 313 = 12 (mod 43)
PROBLEMS 10.3
forwarded to a user with public key (47, 5, 10) and private key k
(a) If the random integer chosen for encryption is j = 13, determine the cipher
(b) Indicate how the ciphertext can be decrypted using the recipient's private ko
2. Suppose that the following ciphertext is received by a person having ElGamal puki
key (71, 7, 32) and private key k = 30:
19.
%3D
(56, 45) (56, 38) (56, 29) (56, 03) (56, 67)
(56, 05) (56, 27) (56, 31) (56, 38) (56, 29)
Obtain the plaintext message.
3. The message NOT NOW (numerically 131419131422) is to be sent to a user of the
ElGamal system who has public key (37, 2, 18) and private key k = 17. If the integer
j used to construct the ciphertext is changed over successive four-digit blocks from
j = 13 to j = 28 to j = 11, what is the encrypted message produced?
4. Assume that a person has EIGamal public key (2633, 3, 1138) and private key k = 965.
If the person selects the random interger j = 583 to encrypt the message BEWARE OF
THEM, obtain the resulting ciphertext.
[Hint: 3583 = 1424 (mod 2633), 1138583 = 97 (mod 2633).]
5. (a) A person with public key (31, 2, 22) and private key k = 17 wishes to sign a message
whose first plaintext block is B = 14. If 13 is the integer chosen to construct the
signature, obtain the signature produced by the ElGamal algorithm.
(b) Confirm the validity of this signature.
%3D
%3D
%3D
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Transcribed Image Text:the
equality of
the pair (5, 16). On its arrıval,
the integers V1 and V2:
V = 225 . 516 = 39 · 40 = 12 (mod 43)
V2 = 313 = 12 (mod 43)
PROBLEMS 10.3
forwarded to a user with public key (47, 5, 10) and private key k
(a) If the random integer chosen for encryption is j = 13, determine the cipher
(b) Indicate how the ciphertext can be decrypted using the recipient's private ko
2. Suppose that the following ciphertext is received by a person having ElGamal puki
key (71, 7, 32) and private key k = 30:
19.
%3D
(56, 45) (56, 38) (56, 29) (56, 03) (56, 67)
(56, 05) (56, 27) (56, 31) (56, 38) (56, 29)
Obtain the plaintext message.
3. The message NOT NOW (numerically 131419131422) is to be sent to a user of the
ElGamal system who has public key (37, 2, 18) and private key k = 17. If the integer
j used to construct the ciphertext is changed over successive four-digit blocks from
j = 13 to j = 28 to j = 11, what is the encrypted message produced?
4. Assume that a person has EIGamal public key (2633, 3, 1138) and private key k = 965.
If the person selects the random interger j = 583 to encrypt the message BEWARE OF
THEM, obtain the resulting ciphertext.
[Hint: 3583 = 1424 (mod 2633), 1138583 = 97 (mod 2633).]
5. (a) A person with public key (31, 2, 22) and private key k = 17 wishes to sign a message
whose first plaintext block is B = 14. If 13 is the integer chosen to construct the
signature, obtain the signature produced by the ElGamal algorithm.
(b) Confirm the validity of this signature.
%3D
%3D
%3D
oliol
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