Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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What is the formula used for encryption of data using affine cipher(a,b are constants and x is the numerical equivalent of a letter to be encrypted)?
1. ax+b 2. (ax+b)%26 3. a(x^2) +bx 4. (a(x^2) +bx)%26
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- Alice sets up an RSA public/private key, but instead of using two primes, she chooses three primes p, q, and r and she uses n=pqr as her RSA-style modulus. She chooses an encryption exponent e and calculates a decryption exponent d. Encryption and Decryption are defined: C ≡ me mod n and m ≡ Cd mod n where C is the ciphertext corresponding to the message m. Decryption: de ≡ 1 mod φ(n) | Let p = 5, q = 7, r = 3, e = 11, and the decryption exponent d = -13. n = 105 & φ(n) = 48 Q: Alice upgrades to three primes that are each 200 digits long. How many digits does n have?arrow_forwardBob's El Gamal prime number is p=907 and his secret key is a=16. Alice has encrypted x=13 for sending to Bob and her ciphertext is (37,♦). What is ♦ (mod p)? Select one: a. 512 b. 418 c. 253 d. 96 e. 419arrow_forwardSuppose your RSA public key is PK: {n, e} = {13861, 37}. Your friend sends you a ciphertext C = 9908. But unfortunately you have forgotten your private key, now you have to crack it yourself.a) Write down a possible condition of factors p and q.p= q=b) What is your private key SK: {d}?d=c) What is the plaintext of your friend’s message?The plaintext M =d) Suppose the plaintext M is a 12-digit number consisting of a prefix “19” and 1234567890. What is the corresponding ciphertext? Since M is greater than n, you only need to encrypt four digits at a time. Ignore redundant zeros. e.g., 0001 = 1. The result should contain three integers.The ciphertext C0 =arrow_forward
- 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…arrow_forwardPerform 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 = 10arrow_forwardA simple cyclic substitution cipher replaces each English letter with one that is n letters away in the alphabet. What is the plaintext for the following ciphertext, which was encrypted using a simple substitution cipher: XWNVTMBHG BL PATM KXFTBGL TYMXK T IXKLHG ATL YHKZHWWXG PATM HGX ATL EXTKGXW BG LVAHHEarrow_forward
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