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If the Caesar cipher produced KDSSB ELUWKGDB, what is the plaintext message?

If the Caesar cipher produced KDSSB ELUWKGDB, what is the plaintext message?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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(An ossifrage, by the way, is a kind of hawk.) the product of two primes having 95 digits each. The Challenge became inactive in mere 17 years later. The plaintext message is the sentence showed that the 193-digit number (640 binary digits) RSA-640 could be written as of a test for recent advances in factorization methods. The latest factoring success сompu puters ed utterly beyond reach in 1977 was accomplished a "The magic words are squeamish ossifrage." ל a Drawn up in 1991, the 42 numbers in the RSA Challenge List serve as something u fest for recent advances in factorization methods. The latest factoring success awed that the 193-digit number (640 binary digits) RSA-640 could be written as he product of two primes having 95 digits each. The Challenge became inactive in 2007. PROBLEMS 10.1 1. Encrypt the message RETURN HOME using the Caesar cipher. 2. If the Caesar cipher produced KDSSB ELUWKGDB, what is the plaintext message? 3. (a) A linear cipher is defined by the congruence C = a P +b (mod 26), where a and b are integers with gcd(a, 26) = 1. Show that the corresponding decrypting congruence is P = a'(C – b) (mod 26), where the integer a' satisfies aa' = 1 (mod 26). (b) Using the linear cipher C = 5P+11 (mod 26), encrypt the message NUMBER THEORY IS EASY. () Decrypt the message RXQTGU HOZTKGH FJ KTMMTG, which was produced using the linear cipher C = 3P +7 (mod 26).
Transcribed Image Text:(An ossifrage, by the way, is a kind of hawk.) the product of two primes having 95 digits each. The Challenge became inactive in mere 17 years later. The plaintext message is the sentence showed that the 193-digit number (640 binary digits) RSA-640 could be written as of a test for recent advances in factorization methods. The latest factoring success сompu puters ed utterly beyond reach in 1977 was accomplished a "The magic words are squeamish ossifrage." ל a Drawn up in 1991, the 42 numbers in the RSA Challenge List serve as something u fest for recent advances in factorization methods. The latest factoring success awed that the 193-digit number (640 binary digits) RSA-640 could be written as he product of two primes having 95 digits each. The Challenge became inactive in 2007. PROBLEMS 10.1 1. Encrypt the message RETURN HOME using the Caesar cipher. 2. If the Caesar cipher produced KDSSB ELUWKGDB, what is the plaintext message? 3. (a) A linear cipher is defined by the congruence C = a P +b (mod 26), where a and b are integers with gcd(a, 26) = 1. Show that the corresponding decrypting congruence is P = a'(C – b) (mod 26), where the integer a' satisfies aa' = 1 (mod 26). (b) Using the linear cipher C = 5P+11 (mod 26), encrypt the message NUMBER THEORY IS EASY. () Decrypt the message RXQTGU HOZTKGH FJ KTMMTG, which was produced using the linear cipher C = 3P +7 (mod 26).
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