Assume you are constructing an RSA algorithm with p = 3 and q = 5 a) Find the number of relatively prime (with n) positive integers less than n: p(n) =? b) Choose a proper public key: e =? c) Calculate the corresponding private key: d =? d) Write the expressions for

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 15E: Let r0=b0. With the notation used in the description of the Euclidean Algorithm, use the result in...
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Assume you are constructing an RSA algorithm with p = 3 and q = 5
a) Find the number of relatively prime (with n) positive integers less than n: p(n) =?
b) Choose a proper public key: e =?
c) Calculate the corresponding private key: d =?
d) Write the expressions for encryption and decryption functions if plaintext block is denoted by x and
ciphertext block is denoted by y.
e) Write the expression for your digital signature if the message to be signed is m.
If m = 02 what is the numeric value for
f)
a. encrypted(m)
b. digitally signed (encrypted (m))
Transcribed Image Text:Assume you are constructing an RSA algorithm with p = 3 and q = 5 a) Find the number of relatively prime (with n) positive integers less than n: p(n) =? b) Choose a proper public key: e =? c) Calculate the corresponding private key: d =? d) Write the expressions for encryption and decryption functions if plaintext block is denoted by x and ciphertext block is denoted by y. e) Write the expression for your digital signature if the message to be signed is m. If m = 02 what is the numeric value for f) a. encrypted(m) b. digitally signed (encrypted (m))
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