(5) Elgamal public key cryptosystem (decryption):Start with the prime p = 17 and the primitive root g = 3.Alice sends Bob the public key A = 5.Bob encrypts the message m and sends the pair of numbers (8,2) to Alice.Alice's secret key is a = 5.Using Elgamal public key decryption, Alice computes the plaintext messagem from the ciphertext (8, 2). What is the number m that Alice obtains?

Answered: Image /qna-images/answer/5f941481-fdff-4b3e-b29a-cc820005b245.jpg

Answered: (5) Elgamal public key cryptosystem…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

(RSA public key cryptosystem) Bob chooses the secret primes p = 5 and q = 11. Bob chooses the encryption exponent e = 3. Bob publishes N = 55 and e = 3. If Bob receivers the ciphertext c = 24 from Alice, what is the plaintext m that Bob obtains by deciphering c?
(b) A computer room has 36 computers, numbered from 0 to 35. Assign a computer to each of the following students by the hashing function h(k)= k mod 36 where k is the class number of the student. Solve the problem when a collision occurs (In case of collisions, the computer number will usually be assigned to the next available storage location). (i) Student number of Jerry: 138 (ii) Student number of Ray: 36 (iii) Student number of Ivy: 34 (iv) Student number of Lucy: 66 (v) Student number of Ivan: 124
Having chosen primes p and q, and suitable integers d and e, what is the public-key of our RSA cipher in this case? Select one: a. (φ(pq), e) b. (pq, e) c. (d. e) d. (p. q) Clear my choice
Encrypt the message "destroy" by translating the letters into numbers, applying the given encryption function f(x) = (11x+16) mod 26, and then translating the numbers back into letters. please do not provide solution in image format thank you!
Use the RSA cipher with public key n = 713 = 23 · 31 and e = 43. Decrypt the given ciphertext and find the original message. (Assume the letters of the alphabet are encoded as follows: A = 01, B = 02, C = 03, ..., Z = 26.) Decrypt: 476 089 048 129
1.3. For this exercise, use the simple substitution table given in Table 1.11. (a) Encrypt the plaintext message The gold is hidden in the garden. (b) Make a decryption table, that is, make a table in which the ciphertext alphabet is in order from A to Z and the plaintext alphabet is mixed up. (c) Use your decryption table from (b) to decrypt the following message. IBXLX JVXIZ SLLDE VAQLL DEVAU QLB
Apply the affine cipher formula C=(5P + 2) mod 26 to encript "LASER PRINTER". JGNSA DUNTXNA JSNAS DNUTXAN JGSAN DNUTXAN JGSAN DUNXANT
Decrypt the message CFEJFE which was encrypted using the affine cipher: Alphabet: A = 0, B = 1,..., Z = 25 Message: f(p) = (15p+5) mod 26
(3) Diffie-Hellman key exchange: Start with the prime p = 17 and the primitive root g = 3. (a) Alice chooses the secret key a = 4. Compute the public key A = gº (mod p) Alice sends A to Bob. (b) Bob chooses the secret key b = 3. Compute the public key B = gb (mod p) Bob sends B to Alice. (c) Use Diffie-Hellman key exchange to compute the secret key that Alice and Bob share.
1. (a) Use Fermat's Little Theorem to calculate: (i) 123578946 (mod 47) (ii) 58¹17 (mod 59) (iii) 56 +5060 +500600 + 50006000 (mod 7) (b) Messages are to be encoded using the RSA method, and the primes chosen are p = 11 and q = 13, so that n = pq = 143. The encryption exponent is e = 17. Thus, the public key is (143, 17). (i) Show that the decryption exponent d (the private key) is 113. (ii) Use the repeated squaring algorithm to find the encrypted form c of the message m = 44.
a. Given p=23, q=7, and e=5, generate the public key (n,e) and the private key (n,d) using RSA Key generation algorithm. b. Given Bob's public key of (85, 7) and private key of (85, 55), show how Alice can encrypt m=7 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=8 received from Alice. Show the plaintext. d. Using the fast exponentiation method (page 182), determine 535 mod 47
You are doing a Diffie-Hellman-Merkle key exchange with Bradley using generator 2 and prime 37. Your secret number is 13. Bradley sends you the value 4. Determine the shared secret key, Enter your inswer a an integer or decimal ninbes lianplek14.55172 Enter DNE for Does Not Esiat, f Infiely

SEE MORE QUESTIONS

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS