1. The message forwarded to a user with public key (47, 5, 10) and private key k = 19 ptosystem and SI (b) Indicate how the ciphertext can be decrypted using the recipient's private ke

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Question 1

V. = 225. 516 = 39 · 40 = 12 (mod 43)
V2 = 313 = 12 (mod 43)
TO
the integers V1 and V2:
P Aopenba
PROBLEMS 10.3
forwarded to a user with public key (47, 5, 10) and private key k – 10
(b) Indicate how the ciphertext can be decrypted using the recipient's privats e
2. Suppose that the following ciphertext is received by a person having ElGamalnda
key (71, 7, 32) and private key k = 30:
%3D
(56,45) (56, 38)
(56, 05) (56, 27)
(56, 29) (56, 03) (56,67)
(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
EIGamal 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 ElGamal public key (2633, 3, 1138) and private key k = 960.
If the person selects the random interger j = 583 to encrypt the message BEWARE OF
THEM, obtain the resulting ciphertext.
[Hint: 3585 = 1424 (mod 2633), 1138583 = 97 (mod 2633).]
%3D
%3D
11.
%3D
%3D
The
hel
5. (a) A person with public key (31, 2, 22) and private key k = 17 wishes to signam e
164
%3D
the
signature, obtain the signature produced by the ElGamal algorithm.
(b) Confirm the validity of this signature.
ent
for
sch
Mi
int
me
me
cod
Transcribed Image Text:V. = 225. 516 = 39 · 40 = 12 (mod 43) V2 = 313 = 12 (mod 43) TO the integers V1 and V2: P Aopenba PROBLEMS 10.3 forwarded to a user with public key (47, 5, 10) and private key k – 10 (b) Indicate how the ciphertext can be decrypted using the recipient's privats e 2. Suppose that the following ciphertext is received by a person having ElGamalnda key (71, 7, 32) and private key k = 30: %3D (56,45) (56, 38) (56, 05) (56, 27) (56, 29) (56, 03) (56,67) (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 EIGamal 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 ElGamal public key (2633, 3, 1138) and private key k = 960. If the person selects the random interger j = 583 to encrypt the message BEWARE OF THEM, obtain the resulting ciphertext. [Hint: 3585 = 1424 (mod 2633), 1138583 = 97 (mod 2633).] %3D %3D 11. %3D %3D The hel 5. (a) A person with public key (31, 2, 22) and private key k = 17 wishes to signam e 164 %3D the signature, obtain the signature produced by the ElGamal algorithm. (b) Confirm the validity of this signature. ent for sch Mi int me me cod
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