Question: Consider a toy RSA example in which the public key is ( n = 3 5 , e = 1 7 ) . 4 (

Consider a toy RSA example in which the public key is (n =35, e =17).4(a)[6 Marks] Determine the value of the private key. Justify your answer using the extended Euclidean GCD algorithm. 4(b)[6 Marks] Determine the result of encrypting the plaintext message 27. Justify your answer using one of the square-and-multiply variant algorithms. 4(c)[8 Marks] Determine the result of decrypting the ciphertext 19. Justify your answer calculating the result modulo 5, and also modulo 7, and then combining these results using the Chinese Remainder Theorem.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

Q:

QUESTION 3 [ Total marks: 2 0 ] Consider a toy RSA example in which the public key is ( N = 5 5 , e = 1 7 ) . 3 ( a ) [ 6 Marks ] Determine the value of the private key. 3 ( b ) [ 7 Marks ] Describe...

Q:

PROBLEM 1 GCD EXTENDED-EUCLID(a,b) where a b 1 if a mod b = 0 return (0,1) 2 (x,y) + EXTENDED-EUCLID(b, a mod b) 3 return (y,x y(a/b])) Use the extended Euclid algorithm presented in class to compute...

Q:

PROBLEM 3 Textbook RSA is insecure Consider the textbook RSA signature scheme with the public key and private keys pk = e, sk = d, and die = 1 mod (n) for an RSA modulus n = pq and: 1. Signsk(m):...

Q:

Consider the textbook RSA signature scheme with the public key and private keys pk = e, sk = d, and d.e=1 mod (n) for an RSA modulus n = pq and: 1. Signsk(m): Compute md mod n. 2. Verifypk(m,o):...

Q:

In the RSA scheme with the public key (e, n) = (3, 21): a) (5 marks) encipher the plaintext M = 9; b) (5 marks) break the cipher by finding p, q and d, where n = p xq and (d, n) is the private key;...

Q:

RSA involves two keys: a public key ( e , n ) and a private key ( d , n ) . Suppose p = 5 and q = 1 1 . ( a ) Calculate n and ( n ) . Herein ( n ) is Euler s totient function which counts the...

Q:

(2). Transposition ciphers Write letters of message out in rows over a specified number of columns. Then reorder the columns according to some key before reading off the rows Key: 5 1 6 3 4 7 2...

Q:

Q.3 Encryption (40 points) Answer the following short questions a. Caesar Cipher: Julius Caesar is about to invade Britain (again) and he sends an encrypted message to one of his top commanders in...

Q:

Answer the following short questions a. Caesar Cipher: Julius Caesar is about to invade Britain (again) and he sends an encrypted message to one of his top commanders in the area that is now known as...

Q:

8. Show the result of encrypting M = 4 using the public key (e, n) = (3, 77) in the RSA cryptosystem. 9. What are HIPAA and FERPA? And what types of records are protected by each

Q:

At the instant shown, race car A is passing race car B with a relative velocity of 1 m/s. Knowing that the speeds of both cars are constant and that the relative acceleration of car A with respect to...

Q:

Zhu Manufacturing is considering the introduction of a family of new products. Long- term demand for the product group is somewhat predictable, so the manufacturer must be concerned with the risk of...

Q:

11. Calculating the Cash Budget (LO3) Here are some important figures from the budget of Nechako Nougats Inc. for the second quarter of 2015: The company predicts that 5 percent of its credit sales...

Q:

In Philemon, Paul makes himself personally responsible for the amount stolen by Onesimus. He tells Philemon to "Charge that to my account." True False