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(a) Given the primes: p = 11, 9 = 29, let N = pq, Consider the words: HEARD WASTE For clarity, the individual characters are given below: HEARDOWASTE Encrypt the above using an exponential cipher with exponent k = 3 modulo N. You need only give the integers which result – you should not attempt to turn them into text. (Show your working in detail, explaining how you perform the necessary exponentiation.) (b) Consider the following integers, 192 91 24 193 25 which resulted from encrypting a word using the above scheme. Decrypt the word. (Show your working in detail, explaining how you perform the necessary exponentiation.)

(a) Given the primes: p = 11, 9 = 29, let N = pq, Consider the words: HEARD WASTE For clarity, the individual characters are given below: HEARDOWASTE Encrypt the above using an exponential cipher with exponent k = 3 modulo N. You need only give the integers which result – you should not attempt to turn them into text. (Show your working in detail, explaining how you perform the necessary exponentiation.) (b) Consider the following integers, 192 91 24 193 25 which resulted from encrypting a word using the above scheme. Decrypt the word. (Show your working in detail, explaining how you perform the necessary exponentiation.)

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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please send solution Q3
Q3 (a) Given the primes: p = 11, 9 = 29, let N = pq, Consider the words: HEARD WASTE For clarity, the individual characters are given below: HEARDOWASTE Encrypt the above using an exponential cipher with exponent k = 3 modulo N. You need only give the integers which result – you should not attempt to turn them into text. (Show your working in detail, explaining how you perform the necessary exponentiation.) (b) Consider the following integers, 192 91 24 193 25 which resulted from encrypting a word using the above scheme. Decrypt the word. (Show your working in detail, explaining how you perform the necessary exponentiation.)
Transcribed Image Text:Q3 (a) Given the primes: p = 11, 9 = 29, let N = pq, Consider the words: HEARD WASTE For clarity, the individual characters are given below: HEARDOWASTE Encrypt the above using an exponential cipher with exponent k = 3 modulo N. You need only give the integers which result – you should not attempt to turn them into text. (Show your working in detail, explaining how you perform the necessary exponentiation.) (b) Consider the following integers, 192 91 24 193 25 which resulted from encrypting a word using the above scheme. Decrypt the word. (Show your working in detail, explaining how you perform the necessary exponentiation.)
ALPHABET In all questions, you should work with an alphabet of n = 37 symbols, as indicated below. For individual symbols, you should use integer codes in the range 0 to 36 inclusive (therefore, you will be mainly using arithmetic modulo n = 37), as indicated by the following table: A в DEFG 0 1 JK 2 3 4 5 7 8 LM O P 14 15 Q|R S 10 11 12 13 16 17 18 19 TU 20 21 V. W Y ? 22 23 24 25 26 27 28 29 @ 30 31 32 33 34 35 36 So, for example, the symbol C should be encoded as the integer 3. Note: the space character (used to separate words) should be encoded by the integer 0.
Transcribed Image Text:ALPHABET In all questions, you should work with an alphabet of n = 37 symbols, as indicated below. For individual symbols, you should use integer codes in the range 0 to 36 inclusive (therefore, you will be mainly using arithmetic modulo n = 37), as indicated by the following table: A в DEFG 0 1 JK 2 3 4 5 7 8 LM O P 14 15 Q|R S 10 11 12 13 16 17 18 19 TU 20 21 V. W Y ? 22 23 24 25 26 27 28 29 @ 30 31 32 33 34 35 36 So, for example, the symbol C should be encoded as the integer 3. Note: the space character (used to separate words) should be encoded by the integer 0.
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