The following affine cipher with the key k = (a, b) uses only uppercase letters of English alphabet encoded as elements of Z26 : ABCD EF 012 GH KILIM 3 4 56 7 9 10 11|12 W XY|Z 8 NOPO RS 13 14 15 16 17 18 19 2o 21 22 23 24 25 UlV Encryption function is: y = ax + b mod 26 Assume you have obtained the ciphertext sequence: E V W JC PU W ZY and the initial 2 letters of the plaintext are: U N a) Find the key, k = (a, b). b) Write the decryption function: x = a-1(y – b) mod 26 c) Decrypt the rest of the ciphertext.

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 15E: a. Excluding the identity cipher, how many different translation ciphers are there using an alphabet...
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The following affine cipher with the key k = (a, b) uses only uppercase letters of English alphabet encoded as
elements of Z26 :
ABCD EF
12
GH
KILIM
3
4
567
9 10 11|12
W xY|Z
8
NO PO RS
UlV
13 14 15 16| 17 18 19 20|21 22 23 24 25
Encryption function is: y = ax + b mod 26
Assume you have obtained the ciphertext sequence: E V W J C PU W ZY
and the initial 2 letters of the plaintext are:
U N
a) Find the key, k = (a,b).
b) Write the decryption function: x = a¬1(y – b) mod 26
c) Decrypt the rest of the ciphertext.
Transcribed Image Text:The following affine cipher with the key k = (a, b) uses only uppercase letters of English alphabet encoded as elements of Z26 : ABCD EF 12 GH KILIM 3 4 567 9 10 11|12 W xY|Z 8 NO PO RS UlV 13 14 15 16| 17 18 19 20|21 22 23 24 25 Encryption function is: y = ax + b mod 26 Assume you have obtained the ciphertext sequence: E V W J C PU W ZY and the initial 2 letters of the plaintext are: U N a) Find the key, k = (a,b). b) Write the decryption function: x = a¬1(y – b) mod 26 c) Decrypt the rest of the ciphertext.
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