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3. The message NOT NOW (numerically 131419131422) is to be sent to a user e a EIGamal system who has public key (37, 2, 18) and private key k = 17. If the intee j used to construct the ciphertext is changed over successive four-digit blocks fnm j = 13 to j = 28 to j = 11, what is the encrypted message produced? %3D

3. The message NOT NOW (numerically 131419131422) is to be sent to a user e a EIGamal system who has public key (37, 2, 18) and private key k = 17. If the intee j used to construct the ciphertext is changed over successive four-digit blocks fnm j = 13 to j = 28 to j = 11, what is the encrypted message produced? %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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for the val the pair (5, 16). On its arrival, the sign 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- b) Indicate how the ciphertext can be decrypted using the recipient's priveter 2. Suppose that the following ciphertext is received by a person having ElGo. key (71, 7, 32) and private key k = 30: %D pue (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 e. ElGamal system who has public key (37, 2, 18) and private key k = 17. If the inter 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), 1138585 = 97 (mod 2633).] 5. (a) A person with public key (31, 2, 22) and private key k = 17 wishes to signamesse whose first plaintext block is B = 14. If 13 is the integer chosen to construci u signature, obtain the signature produced by the EIGamal algorithm. (b) Confirm the validity of this signature. %3D %3D 1: %3D 1. ce
Transcribed Image Text:for the val the pair (5, 16). On its arrival, the sign 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- b) Indicate how the ciphertext can be decrypted using the recipient's priveter 2. Suppose that the following ciphertext is received by a person having ElGo. key (71, 7, 32) and private key k = 30: %D pue (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 e. ElGamal system who has public key (37, 2, 18) and private key k = 17. If the inter 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), 1138585 = 97 (mod 2633).] 5. (a) A person with public key (31, 2, 22) and private key k = 17 wishes to signamesse whose first plaintext block is B = 14. If 13 is the integer chosen to construci u signature, obtain the signature produced by the EIGamal algorithm. (b) Confirm the validity of this signature. %3D %3D 1: %3D 1. ce
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