1.In an RSA cryptosystem, a particular A uses two prime numbers p = 13 and q =17 to generate her public and private keys. If the public key of A is 35. Then the private key of A is?
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Q: suppose, RHT and NAT are using the RSA algorithm for PUBLIC-KEY CRYPTOGRAPHY Having chosen 3 and 11…
A: Please upvote. I am providing the correct answer below. Prime numbers:p = 3, q = 11 n = p*q = 33…
Q: Suppose the two prime numbers p = 23 and q=37 are used for an RSA encryption scheme. What are the…
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A: The answer is given below.
Q: hat is the public key
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A: the solution is an given below
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Q: suppose the RSA cryptosystem is used for sending secret message with the private key (15,3) what is…
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Q: suppose p=5 and q=11. what is the private key of an RSA cryptosystem with public key (n,e)= (55,9)?
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Q: If P= 13 and q = 17 apply the Complete Public key cryptosystem using RSA
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A: Answer is given below.
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A: Please refer to the following step for the complete solution of the problem above.
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A: Introduction
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- In the ElGamal cryptosystem, Alice and Bob use p = 17 and α = 3. Bobchooses his secret to be a = 6, so β = 15. Alice sends the ciphertext (r, t) = (7, 6). Determine the plaintext m.Alice and Bod have decided to use a symmetric encryption algorithm. They have some assumptions about their messages:- Messages only contain capital letters (i.e. A to Z)- The length of their shared key must be greater than or equal to the length of the plaintext- They assign each letter a number as follows: (A,0), (B,1), (C,2), (D,3),…, (Z,25)Their algorithm combines the key and the message using modular addition. The numerical values of corresponding message and key letters are added together, modulo 26. For example, if the plain text is “HELLO” and the key is “SECRET” then the encrypted message is calculated as following:Since the length of the plaintext is 5, we just need the first 5 letters of the key (i.e. “SECRE”), then for each letter, we should add corresponding letters in both the plaintext and the key modulo 26.Plaintext: H (7) E (4) L (11) L (11) O (14)Key: S (18) E (4) C (2) R (17) E(4)Cipher: Z (25) I (8) N(13) C(2) S (18) Write a program in Python, C/C++ or JavaScript to…In a public key, cryptosystem using RSA algorithm, user uses two prime numbers 5 and 7. He chooses 11 as Encryption key, find out decryption key. What will be the cipher text, if the plaintext is 2? Decrypt the cipher text, what will be the value of plain text?
- Problems are on this Textbook: Stallings, W. (2019). Cryptography and Network Security (8/E). Pearson Publishing. ISBN: 978-0-13576-403-9 7.10 In discussing the CTR mode, it was mentioned that if any plaintext blocks that is encrypted data using a given counter value is known, then the output of the encryption function can be determined easily from the associated cipher text block. SHow the calculation.We consider ElGamal cryptosystem with public prime p = 53 and generator g = 2. Let h = 16 be Bob’s public-key (his private key x is unknown, h = g^x ). Alice encrypted message m with Bob’s public key and sent the corresponding ciphertext to Bob: (C1 ,C2 ) = (15, 50). You intercepted this ciphertext. Can you break the encryption and recover the original message m? Hint: Both g and h are very small numbers, can you deduce private key x?Suppose p=5 and q=11. Which of the following is the private key of an RSA cryptosystem with public key (n,e)=(55,7)? a. (55, 23) b. (55, 15) c. (55, 39) d. None of the Above
- 1. Suppose that we use a substitution cipher to encrypt an English word, from which we obtain the ciphertext is “AUXXME”. Which of the following words is possibly the plaintext? (Hint: In a substitution cipher, we replace each letter of the plaintext with another letter) A. greedy B. funny C. secret D. cheese 2. Which of the following statements are incorrect? A. Cryptographic systems tend to involve both an algorithm and a secret value. B. To secure systems, it is more efficient to update algorithms than updating keys. C. Often a scheme can be made more secure by making the key longer. D. We can always change the key length to better secure systems, no matter using which cryptographic algorithms. E. In a secret-key cryptosystem, secret keys can be used for both encryption and decryption. 3. Which of the following statements are incorrect about a cryptographical hash function? A. The input size can be arbitrary and the output size is fixed B. Given the input, the output should…Alice and Bod have decided to use a symmetric encryption algorithm. They have someassumptions about their messages:- Messages only contain capital letters (i.e. A to Z)- The length of their shared key must be greater than or equal to the length of the plaintext- They assign each letter a number as follows: (A,0), (B,1), (C,2), (D,3),…, (Z,25)Their algorithm combines the key and the message using modular addition. The numerical valuesof corresponding message and key letters are added together, modulo 26. For example, if the plaintext is “HELLO” and the key is “SECRET” then the encrypted message is calculated as following:Since the length of the plaintext is 5, we just need the first 5 letters of the key (i.e. “SECRE”), thenfor each letter, we should add corresponding letters in both the plaintext and the key modulo 26.Plaintext: H (7) E (4) L (11) L (11) O (14)Key: S (18) E (4) C (2) R (17) E(4)Cipher: Z (25) I (8) N(13) C(2) S (18) a) Write a program in Python, C/C++ or JavaScript to…8. Two of Alice’s public-key components in a simple ElGamal cryptosystem are p = 17 and g =3 . (a) If Alice’s private key is x = 5, what is her public key? (b) What is the ciphertext corresponding to the plaintext p = 4 if the randomly generated number k = 2 is used?
- Using public key cryptography, X adds a digital signature s to message M, encrypts <M, s>, and sends it to Y, where it is decrypted. Which one of the following sequences of keys is used for the operations? A) Encryption: X's private key followed by Y's private key; Decryption: X's public key followed by Y's public key B) Encryption: X's private key followed by Y's public key; Decryption: X's public key followed by Y's private key C) Encryption: X's public key followed by Y's private key; Decryption: Y's public key followed by X's private key D) Encryption: X's private key followed by Y's public key; Decryption: Y's private key followed by X's public keyLet (M, C, e, d, Ke, Ka) denote the RSA cryptosystem with public key (s, n) = (5, 26051) and private key t = 5141. (a) Compute C = e(200, (5, 26051)). (b) Compute M = d(2,5141)A shortcoming of using an elliptic curve E(Fp) for cryptography is the fact that it takes two coordinates to specify a point in E(Fp). However, as discussed briefly at the end of Sect. 6.4.2, the second coordinate actually conveys very little additional information.(b) Alice and Bob decide to use the prime p = 1123 and the elliptic curveE : Y2 = X3 + 54X + 87.Bob sends Alice the x-coordinate x = 278 and the bit β = 0. What point is Bob trying to convey to Alice? What about if instead Bob had sent β = 1?