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Problem #1 Given below is a well-known cryptosystem called affine Caesar cipher, as well as some ciphertext generated using the affine Caesar cipher. P=C = Z26= {0, 1, 2, ..., 25}; K = {(a, b) = Z26 x Z26 | gcd(a, 26) = 1} y = E([a,b], x) = (ax + b) mod 26, x = D([a,b], y) = a¹(y - b) mod 26, where x = P, y e C. Ciphertext sample: VPWOMFUWOFMYMHUNWBBWGCRVVPSFVPUTHUJWMC OMFUOVSVWOVWGSRSFSREOWOQMHKOBMHVPWOUFG HETVWMFOEOVUYVMMZCVGSFEMCCOUEMCHKFMQRU NIUMBRWFUSHSRIUZHSVMBWFNVPUOUGHUVKUEVM MVPUFEMCQWRRPSJUVHCREGHSGKUNVPUOEOVUY For this problem, please do the following: (a) provide an analysis detailing its strength/weakness; (b) attempt to uncover the plaintext associated with the ciphertext; (c) attempt to determine the secret key (a, b) used.

Problem #1 Given below is a well-known cryptosystem called affine Caesar cipher, as well as some ciphertext generated using the affine Caesar cipher. P=C = Z26= {0, 1, 2, ..., 25}; K = {(a, b) = Z26 x Z26 | gcd(a, 26) = 1} y = E([a,b], x) = (ax + b) mod 26, x = D([a,b], y) = a¹(y - b) mod 26, where x = P, y e C. Ciphertext sample: VPWOMFUWOFMYMHUNWBBWGCRVVPSFVPUTHUJWMC OMFUOVSVWOVWGSRSFSREOWOQMHKOBMHVPWOUFG HETVWMFOEOVUYVMMZCVGSFEMCCOUEMCHKFMQRU NIUMBRWFUSHSRIUZHSVMBWFNVPUOUGHUVKUEVM MVPUFEMCQWRRPSJUVHCREGHSGKUNVPUOEOVUY For this problem, please do the following: (a) provide an analysis detailing its strength/weakness; (b) attempt to uncover the plaintext associated with the ciphertext; (c) attempt to determine the secret key (a, b) used.

Database System Concepts
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
Problem 1PE
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Problem #1 Given below is a well-known cryptosystem called affine Caesar cipher, as well as some ciphertext generated using the affine Caesar cipher. P = C = Z26 = {0, 1, 2, ..., 25}; K = {(a, b) € Z26 x Z26 | gcd(a, 26) = 1} y = E([a,b], x) = (ax + b) mod 26, x = D([a,b], y) = a¹¹(y - b) mod 26, where x = P, y = C. Ciphertext sample: VPWOMFUWOFMYMHUNWBBWGCRVVPSFVPUTHUJWMC OMFUOVSVWOVWGSRSFSREOWOQMHKOBMHVPWOUFG HETVWMFOEOVUYVMMZCVGSFEMCCOUEMCHKFMQRU NIUMBRWFUSHSRIUZHSVMBWFNVPUOUGHUVKUEVM MVPUFEMCQWRRPSJUVHCREGHSGKUNVPUOEOVUY For this problem, please do the following: (a) provide an analysis detailing its strength/weakness; (b) attempt to uncover the plaintext associated with the ciphertext; (c) attempt to determine the secret key (a, b) used.
Transcribed Image Text:Problem #1 Given below is a well-known cryptosystem called affine Caesar cipher, as well as some ciphertext generated using the affine Caesar cipher. P = C = Z26 = {0, 1, 2, ..., 25}; K = {(a, b) € Z26 x Z26 | gcd(a, 26) = 1} y = E([a,b], x) = (ax + b) mod 26, x = D([a,b], y) = a¹¹(y - b) mod 26, where x = P, y = C. Ciphertext sample: VPWOMFUWOFMYMHUNWBBWGCRVVPSFVPUTHUJWMC OMFUOVSVWOVWGSRSFSREOWOQMHKOBMHVPWOUFG HETVWMFOEOVUYVMMZCVGSFEMCCOUEMCHKFMQRU NIUMBRWFUSHSRIUZHSVMBWFNVPUOUGHUVKUEVM MVPUFEMCQWRRPSJUVHCREGHSGKUNVPUOEOVUY For this problem, please do the following: (a) provide an analysis detailing its strength/weakness; (b) attempt to uncover the plaintext associated with the ciphertext; (c) attempt to determine the secret key (a, b) used.
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