Suppose(n, d) = (55, 3)is the private key of an RSA cryptosystem. If the received ciphertext isC = 49what is the corresponding plaintext?O341014

Given n= 55 d= 3 Recieved ciphertext C= 49 This ciphertext is to be decrypted to get plain…

Answered: Suppose (n, d) = (55, 3) is the private…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.8: Introduction To Cryptography (optional)

Problem 20E: Suppose that in an RSA Public Key Cryptosystem. Encrypt the message "pascal" using the -letter...

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Suppose that in a long ciphertext message the letter occurred most frequently, followed in frequency by. Using the fact that in the -letter alphabet, described in Example, "blank" occurs most frequently, followed in frequency by, read the portion of the message enciphered using an affine mapping on. Write out the affine mapping and its inverse. Example 2 Translation Cipher Associate the letters of the "alphabet" with the integers. Let and define the mapping by where is the key, the number of positions from the plaintext to the ciphertext. If our alphabet consists of through, in natural order, followed by a blank, then we have "letters" that we associate with the integers as follows:
Suppose that in an RSA Public Key Cryptosystem, the public key is. Encrypt the message "pay me later” using two-digit blocks and the -letter alphabet from Example 2. What is the secret key? Example 2 Translation Cipher Associate the letters of the "alphabet" with the integers. Let and define the mapping by where is the key, the number of positions from the plaintext to the ciphertext. If our alphabet consists of through, in natural order, followed by a blank, then we have "letters" that we associate with the integers as follows:
Suppose that in an RSA Public Key Cryptosystem, the public key is e=13,m=77. Encrypt the message "go for it" using two-digit blocks and the 27-letter alphabet A from Example 2. What is the secret key d? Example 2 Translation Cipher Associate the n letters of the "alphabet" with the integers 0,1,2,3.....n1. Let A={ 0,1,2,3.....n-1 } and define the mapping f:AA by f(x)=x+kmodn where k is the key, the number of positions from the plaintext to the ciphertext. If our alphabet consists of a through z, in natural order, followed by a blank, then we have 27 "letters" that we associate with the integers 0,1,2,...,26 as follows: Alphabet:abcdef...vwxyzblankA:012345212223242526
Suppose that in an RSA Public Key Cryptosystem. Encrypt the message "pascal" using the -letter alphabet from Example 4. Use two-digit blocks. Use three-digit blocks. What is the secret key?
Suppose that in an RSA Public Key Cryptosystem. Encrypt the message "algebra" using the -letter alphabet from Example 4. Use two-digit blocks. Use three-digit blocks. What is the secret key?
Suppose that the check digit is computed as described in Example . Prove that transposition errors of adjacent digits will not be detected unless one of the digits is the check digit. Example Using Check Digits Many companies use check digits for security purposes or for error detection. For example, an the digit may be appended to a -bit identification number to obtain the -digit invoice number of the form where the th bit, , is the check digit, computed as . If congruence modulo is used, then the check digit for an identification number . Thus the complete correct invoice number would appear as . If the invoice number were used instead and checked, an error would be detected, since .
Suppose the RSA cryptosystem is used with public key (35, 7). What is the corresponding cipher text when the plain text "2" is sent? O 23 15 12 O 8
In the use of RSA Cryptography, for the public key (11, 65), what is the decrypted original message for ciphertext 5? You must show every step from beginning until the end for the derivation of the message.
Suppose the RSA system that is used for sending secret messages has private key (15, 3) and the cipher text "4" is received. What was the plain text sent? 12 0 8 6 4
Suppose p 5 and q = 11. Which of the following is the private key of an RSA cryptosystem with public key (n, e) = (55, 7)? O (55,51) O (55, 23) O (55, 15) O (55, 39)
The following parameters are chosen to generate the public and private keys for the RSA cryptosystem. p = 13q = 11e = 37d = 13 If the ciphertext is c = 8, then what is the plaintext m?

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Suppose (n, d) = (55, 3) is the private key of an RSA cryptosystem. If the received ciphertext is what is the corresponding plaintext? 3 10 14 C = 49