How the inverse of matrix is obtained and how it is used in cryptography   Minimum of 10 sentences

A.Given p=25, q=9, and e=7, generate the public key (n,e) and the private key (n,d) using the RSA Key generation algorithm. (Use Excel for computations) b. Given Bob's public key of (85, 7) and private key of (85, 55), show how Alice can encrypt m=3 to send to Bob. Show the ciphertext. c. Given Bob's public key of (85, 7) and private key of (85, 55), show how Bob can decrypt the ciphertext y=2 received from Alice. Show the plaintext. d. Using the fast exponentiation method, determine 530 mod 47. Show your work.

Consider a message M which is to be encrypted with RSA algorithm.Describe the steps in the encryption and decryption algorithms, including an explanation of the symbols and terms used paying particular attention to the keys employed in encryption and decryption and the size of the message?

Messages are to be encoded using the RSA method, and the primes chosen are p “ 17 and q “ 19, so that n “ pq “ 323, and e “ 19. Thus, the public key is p323, 19q.   (a) Show that the decryption exponent d (your private key) is 91.

HELP WITH CRYPTOGRAPHY

Solve

A.Given p=25, q=9, and e=7, generate the public key (n,e) and the private key (n,d) using the RSA Key generation algorithm. (Use Excel for computations) b. Given Bob's public key of (85, 7) and private key of (85, 55), show how Alice can encrypt m=3 to send to Bob. Show the ciphertext. c. Given Bob's public key of (85, 7) and private key of (85, 55), show how Bob can decrypt the ciphertext y=2 received from Alice. Show the plaintext. d. Using the fast exponentiation method, determine 530 mod 47. Show your work.

Perform Encryption and decryption using the RSA algorithm for the following: a. p=5; q = 11; e = 3; M = 12 b. p= 3; q = 17; e = 7; M = 2 c. p=7; q = 19; e = 11; M = 5 d. p= 7; q = 13; e = 11; M = 8 e. p= 13; q = 23; e = 5; M = 10

Algebraic Cryptography] How do you solve this?

Decrypt Encryption and decryption are mathematical inverses using the Caesar/Rail Fence Cipher Hint: This a split key - one part of the key is used for the Caesar and the other part of the key is used for the Rail Fence. The full key (Caesar and Rail Fence], in hexidecimal, is: 0x7F.