Given the following Diffie-Hellman scheme, which of the sentences below is/are correct? Select all that apply. Alice to Bob - "I'm Alice", [gª mod plalice Bob to Alice - g mod p {.) is encryption with specified PUBLIC key. [. is encryption with specified PRIVATE key. Trudy can exchange a key between herself and Alice Trudy can share gabmod p with both parties O Trudy can exchange a key between herself and Bob Trudy cannot share any key with the two parties

Given the following Diffie-Hellman scheme, which of the sentences below is/are correct? Select all that apply. Alice to Bob - "I'm Alice", [gª mod plalice Bob to Alice - g mod p {.) is encryption with specified PUBLIC key. [. is encryption with specified PRIVATE key. Trudy can exchange a key between herself and Alice Trudy can share gabmod p with both parties O Trudy can exchange a key between herself and Bob Trudy cannot share any key with the two parties

Programming Logic & Design Comprehensive

9th Edition

ISBN:9781337669405

Author:FARRELL

Publisher:FARRELL

Chapter4: Making Decisions

Section: Chapter Questions

Problem 9RQ

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Suppose you and your friend would like to use Diffie-Hellman key exchange system to exchange a keyword. Both of you have decided to use the following p = 4138327577, q = 3742197127.If you decide b = 1767005, and your friend has picked a number a that you don’t know. But you havereceived q a mod p from your friend, and the number is 980246808. Find out the common shared key.
Consider a Diffie-Hellman scheme with a common prime q = 17 and a primitive root α = 3. a) If user A has a private key XA=4, what is A’s public key, YA? b) A sends YA to B. If B has a private key XB=6, what is the shared secret key, K that B can calculate and share with A? c) If B computes YB and sends it to A, what is the shared secret Key, K computed by A?
As discussed in Class 05, cryptography is the area of mathematics intended for the study of techniques and principles for transforming information from its original form to another, unintelligible form, so that it can be used only when authorized. According to the definition of encryption, carefully analyze the following situation presented below: For the transmission of encrypted messages between two points A and B, A generates a private key and forwards it to B, A encrypts the message using this same private key and sends this message to B, upon receiving the message, B decrypts the message with the same private key. Regarding the situation presented above, mark the alternative that corresponds to the encryption mode used. A) Cryptographic Abstract;B) Asymmetrical;C) Digital Certification;D) Symmetrical;E) Digital Signature.
alice wants to send to all her friends, including bob, the message "SELLEVERYTHING" so that be knows that she sent it. What should she send to her friends, assuming she signs the message using the RSA cryptosystem.
Domain: Set of real numbersWhat is the truth value of each of these statements. Justify each answer with substantive explanations and not just generic True/False answers.1) ∀x(x2 − 1 > 0) 2) ∃x∃y(x4 + y4 = 0)
The Lingala Language of Republic of Congo has 35 letters. Consider an Affine cipher, which encrypts each letter according to the rule: C=(p×k1+k2) mod 35. Here C, p, k1, and k2 are each members in the range 0 to 34, where C represents the ciphertext letter, p the plaintext letter, and k1 and k2 are constant keys. How many possible keys does this affine system have? Explain in details.
(do completely) Question 3 One way to solve the key distribution problem is to use a line from a book that both the sender and the receiver possess. Consider the following ciphertext: B G L C J J Y Y N U D N T G T The key used to encrypt the original message is derived from the first letter of the first four words in the first sentence of The Hunt for the Red October, written by Tom Clancy. “Captain First Rank Marko Ramius of the Soviet Navy was dressed for the Arctic conditions normal to the Northen Fleet submarine base at Polyarnyy.” (Hint: The encoder has removed the blanks between the ciphertext. The key used here might not be a meaningful English word. However the plaintext is a meaningful English phrase). (a) Retrieve the key. (b) Retrieve the whole plaintext.
Alice and Bob has designed an RSA algorithm based on n = 152416431947009. Bob chooses the public key eB = 11. (a) Find the private key dB of Bob so that 0 < dB. Justify each step. (b) What should Alice do to send the message 123456789 to Bob? What message Bob receives? (c) What should Bob do to decrypt the message he receives from Alice? Please solve all part
Alice wants Bob (the Bank) to sign a cheque, c. She has Bob's public key e and modulus N, and chooses a random number r such that gcd(r,N) = 1. She computes re (mod N) and then multiplies the cheque, c, by this number (mod N) and sends the resulting message off to Bob to be signed. When she receives his reply, m, what should she do with it to produce the signed cheque? Select one: a. Divide the reply, m, by rd. b. Divide the reply, m, by r. c. Divide the reply, m, by re. d. Nothing - the reply is the signed cheque
Alice wants Bob (the Bank) to sign a cheque, c. She has Bob's public key e and modulus N, and chooses a random number r such that gcd(r,N) = 1. She computes re (mod N) and then multiplies the cheque, c, by this number (mod N) and sends the resulting message off to Bob to be signed. When she receives his reply, m, what should she do with it to produce the signed cheque? Select one: a. Divide the reply, m, by rd. b. Divide the reply, m, by r. c. Divide the reply, m, by re. No - that won't do it. d. Nothing - the reply is the signed cheque
Now consider the opposite problem: using an encryption algorithm to construct a oneway hash function. Consider using RSA with a known key. Then process a message consisting of a sequence of blocks as follows: Encrypt the first block, XOR the result with the second block and encrypt again, etc. Show that this scheme is not secure by solving the following problem. Given a two-block message B1, B2, and its hash RSAH(B1, B2) = RSA(RSA (B1) +B2) Given an arbitrary block C1, choose C2 so that RSAH(C1, C2) = RSAH(B1, B2). Thus, the hash function does not satisfy weak collision resistance.
Alice and Bob want to use Diffie-Hellman Key Establishment to share a key and they have agreed to use the prime number p=97 as their modulus. They have to choose their g from the following list of numbers, none which are unfortunately primitive roots: 6, 9, 18Sort these numbers in the order of suitability, putting the most suitable on the left. Select one: a. 18, 6, 9 b. 9, 18, 6 c. 18, 9, 6 d. 6, 18, 9 e. 9, 6, 18