In a public key cryptosystem using RSA algorithm, a user ases two prime numbers 11 and17. He chooses 7 as the encryption key, e.12. Find the decription key.13. What are the private key and public key? 14. What will be the cipher text, if the plain text is 15?C =Show your work here:15. Decrypt the cipher text (the value of the plain text).Show your work here: In a public key cryptosystem using RSA algorithm, a user ases two prime numbers 11 and17. He chooses 7 as the encryption key, e.12. Find the decription key.Show your work here:13. What are the private key and public key?public key {e, n}:private key {d, n):T'Focus

Solution : Here, n= product of two primes = 11x17 = 187 Now,…

Answered: In a public key cryptosystem using RSA…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.7: Introduction To Coding Theory (optional)

Problem 4TFE

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Suppose that the check digit is computed as described in Example . Prove that transposition errors of adjacent digits will not be detected unless one of the digits is the check digit. Example Using Check Digits Many companies use check digits for security purposes or for error detection. For example, an the digit may be appended to a -bit identification number to obtain the -digit invoice number of the form where the th bit, , is the check digit, computed as . If congruence modulo is used, then the check digit for an identification number . Thus the complete correct invoice number would appear as . If the invoice number were used instead and checked, an error would be detected, since .
Suppose a codding scheme is devised that maps -bit words onto -bit code words. The efficiency of the code is the ratio . Compute the efficiency of the coding scheme described in each of the following examples. Example 1 Example 2 Example 3 Example 4 Example 1: Parity check – Consider -bit words of the form . One coding scheme maps onto , where is called the parity check digit. Example 2: Repetition Codes – Multiple errors can be detected (but not corrected) in a scheme in which a -bit word is mapped onto a -bit code word according to the following scheme: Example 3: Maximum Likelihood Decoding- Multiple errors can be detected and corrected if each -bit word is mapped onto a - bit code word according to the following scheme (called a triple repetition code): Example 4: Error Detection and Correction – Suppose -bit words are mapped onto -bit code words using the scheme , Where is the parity check digit .

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In a public key cryptosystem using RSA algorithm, a user ases two prime numbers 11 and 17. He chooses 7 as the encryption key, e. 12. Find the decription key. d%3= Show your work here: 13. What are the private key and public key? public key {e, n}: private key {d, n): DFocus