(b) Messages are to be encoded using the RSA method, and the primes chosen are p - 11 and q - 19, so that n pq - 209. The encryption exponent is e 17. Thus, the public key is (209, 17). (1) Show that the decryption exponent d (the private key) is 53. (ii) Use the repeated squaring algorithm to find the encrypted form c of the message m - 47.

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
icon
Related questions
Question
100%
Q1 b part Please provide detailed solution with explanation and justification asap to get a upvote for b part sections
1. (a) Use Fermat's Little Theorem to calculate:
(i) 23106 (mod 107)
(ii) 4" (mod 7)
(ii) 316 + 532 + 864 + 1312 (mod 17)
(iv) the remainder of 21000 divided by 13
(b) Messages are to be encoded using the RSA method, and the primes chosen are
p - 11 and q = 19, so that n pq 209. The encryption exponent is e 17.
Thus, the public key is (209, 17).
(i) Show that the decryption exponent d (the private key) is 53.
(ii) Use the repeated squaring algorithm to find the encrypted form e of the
message m = 47.
CS Scanned with CamScanner
Transcribed Image Text:1. (a) Use Fermat's Little Theorem to calculate: (i) 23106 (mod 107) (ii) 4" (mod 7) (ii) 316 + 532 + 864 + 1312 (mod 17) (iv) the remainder of 21000 divided by 13 (b) Messages are to be encoded using the RSA method, and the primes chosen are p - 11 and q = 19, so that n pq 209. The encryption exponent is e 17. Thus, the public key is (209, 17). (i) Show that the decryption exponent d (the private key) is 53. (ii) Use the repeated squaring algorithm to find the encrypted form e of the message m = 47. CS Scanned with CamScanner
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Encryption and decryption
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education