Explanation Given: The encrypted message is SNUUHQ FM VFALHDZ and the congruence is c ≡ ( 5 p + 9 ) mod 26 Calculation: Congruence is given as c ≡ ( 5 p + 9 ) mod 26 Let us solve the above congruence for p , we have c = 5 p + 9 c − 9 = 5 p Since 21 is multiplicative inverse of 5 in mod 26 Thus, we have 21 ( c − 9 ) = 21.5 p 21 ( c − 9 ) = 105 p p = 21 ( c − 9 ) Hence, we have p = 21 ( c − 9 ) mod 26 Now, the word in cipher text is given as SNUUHQ FM VFALHDZ Decryption is carried as follows S p = 21 ( 19 − 9 ) mod 26 = 210 mod 26 = 2 Decode as B N p = 21 ( 14 − 9 ) mod 26 = 105 mod 26 = 1 Decode as A U p = 21 ( 21 − 9 ) mod 26 = 252 mod 26 = 18 Decode as R H p = 21

4th Edition

ISBN: 9780357113028

Author: Aufmann

Publisher: CENGAGE CO

See similar textbooks

Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

Videos

Question

Chapter 8.2, Problem 61ES

To determine

Decode the below message that was encrypted using the congruence c≡(5p+9)mod26

SNUUHQ FM VFALHDZ

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.2, Problem 60ES

Chapter 8.2, Problem 62ES

Students have asked these similar questions

A smallish urn contains 25 small plastic bunnies - 7 of which are pink and 18 of which are white. 10 bunnies are drawn from the urn at random with replacement, and X is the number of pink bunnies that are drawn. (a) P(X = 5)=[Select] (b) P(X<6) [Select]

The fox population in a certain region has an annual growth rate of 8 percent per year. It is estimated that the population in the year 2000 was 22600. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Your answer is P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer should be an integer)

Chapter 8 Solutions

EP MATHEMATICAL EXCURSIONS-WEBASSIGN

Ch. 8.1 - Determine the day of the week on which you were...Ch. 8.1 - Determine the day of the week on which Abraham...Ch. 8.1 - Determine the day of the week on which January 1,...Ch. 8.1 - Determine the day of the week on which Valentines...Ch. 8.1 - Evaluate each expression, where and indicate...Ch. 8.1 - Evaluate each expression, where and indicate...Ch. 8.1 - Evaluate each expression, where and indicate...Ch. 8.1 - Prob. 4ES Ch. 8.1 - Prob. 5ES Ch. 8.1 - Prob. 6ES

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

Decode the below message that was encrypted using the congruence c ≡ ( 5 p + 9 ) mod 26 SNUUHQ FM VFALHDZ

Concept explainers

Videos

Decode the below message that was encrypted using the congruence c≡(5p+9)mod26 SNUUHQ FM VFALHDZ

Want to see the full answer?

Chapter 8 Solutions

Decode the below message that was encrypted using the congruence c≡(5p+9)mod26

SNUUHQ FM VFALHDZ