Assuming the following values: g = 7 p = 13 A = 1 (Alice’s intermediate value) b = 3 (Bob’s secret value) Answer the following questions: What is the intermediate value (B) that Bob calculates and sends to Alice? What secret value has Alice chosen? What is the secret value (s) that was agreed?
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q8- Alice and Bob are using the Diffie Hellman
Assuming the following values:
- g = 7
- p = 13
- A = 1 (Alice’s intermediate value)
- b = 3 (Bob’s secret value)
Answer the following questions:
- What is the intermediate value (B) that Bob calculates and sends to Alice?
- What secret value has Alice chosen?
- What is the secret value (s) that was agreed?
Step by step
Solved in 5 steps with 5 images
- Q2. RSA Alice starts the RSA, with key generation. She selects p-19 but she is confused with the second choice. Should she choose 17 or 21 for q? Q2.1 The correct choice is q= Then, she calculates the parameters n and (n). Q2.2 The value of n is n= Q2.3 The value of (n) is (n) = Now, Alice has to choose a proper value for e. For some reason, she has to choose one of the following two candidate values: 11 or 15 Q2.4 The correct choice is e= Explain:Alice wants to send Bob her account number for his dining dollars. Bob’s account number is 24. Bob wants to encrypt her account number using the RSA algorithm scheme as evil Eve wants to steal her money to buy M&Ms. Bob chooses two prime numbers, 23 and 37, and uses them to compute the number m. Bob then computes the number e and the number d by using things he knows about the number m and its relationship to e. Bob sends the number e and the number m to Alice and she uses them to encrypt her number A and obtains the number C. C is the encrypted version of her code. Alice sends the number C to Bob, and then Bob uses the number d to decrypt Alice’s message. Using this information, encrypt and decrypt the message to show that the RSA algorithm works, then in a few words explain what makes the algorithm secure if the key for encrypting is always public.Q1: consider the algorithm below, Step 1: Input the two line endpoints, storing the left endpoint in (Xs, Y1) and Right endpoint in (X2, Y2) Plot the point (X1, Y1) Calculate the constants, Ax, Ay, 2Ay and (2Ay - 2Ax) and get the first value for the decision parameter as: Step 2: Step 3: Po = 2Ay - Ax Step 4: At each Xk along the line, starting at K=0, perform the following test: if Pk < 0, the next point to plot is (X+1, Yk) and Pk+1 - Pk + 2Ay Otherwise the next point to plot is (X+1, Yk+1) and: Pk+1 = Pk + 2Ay - 2Ax Step 5: Repeat step 4, Ax times. Explain each step then compare it with DDA algorithm. Q2: use the necessary transformation to generate figure3 from figure2. (4,3) (7,3) (0,3) (3,3) (-2,0) (1,0) Figure 3 Figure 2 Q3:Use the necessary transformation to generate Figure2 from Figurel. (2, 2) (0, 2) (1,3) (3,3) (0,0) (2,0) (-2,0) (1,1) (3,1) (0,-2) (2,-2) Figure 1 Figure 2
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- Q1: consider the algorithm below, Step 1: Input the two line endpoints, storing the left endpoint in (X1, Ya) and Right endpoint in (X2, Y2) Step 2: Plot the point (X1, Y1) Calculate the constants, Ax, Ay, 2Ay and (2Ay - 2Ax) and get the first value for the decision parameter as: Step 3: Po = 2Ay - Ax Step 4: At each Xx along the line, starting at K-0, perform the following test: if Pk < 0, the next point to plot is (Xx+1, Yk) and Pk+1 = Pk + 2Ay Otherwise the next point to plot is (X+1, Yx+1) and: P1 - Pk + 2Ay - 2Ax Step 5: Repeat step 4, Ax times. Explain each step then compare it with DDA algorithm.Correct answer will be upvoted else Multiple Downvoted. Computer science. You are remaining on the OX-hub at point 0 and you need to move to an integer point x>0. You can take a few leaps. Assume you're at present at point (y might be negative) and hop for the k-th time. You can: either leap to the point y+k or on the other hand leap to the point y−1. What is the base number of hops you want to arrive at the point x? Input The main line contains a solitary integer t (1≤t≤1000) — the number of experiments. The solitary line of each experiment contains the single integer x (1≤x≤106) — the objective point. Output For each experiment, print the single integer — the base number of leaps to arrive at x. It very well may be demonstrated that we can arrive at any integer point x.1- Suppose a genetic algorithm uses chromosomes of the form X = abcdefgh with a fixed length of eight genes. Each gene can be any digit between 0 and 9. Let the fitness of individual X be calculated as: f(X) = (a + b)−(c+d) + (e+f) - (g+h) Let the initial population consist of 6 following chromosomes: X1 65413532 X2=87126601 X3 239 21285 X4=41852094 X5 83931775 X6=52769863 Evaluate the fitness of each individual (show all stages). Then select 4 of them for next generation and write chromosomes which are selected. (Consider maximization.) I. II. III. Perform the following crossover operation on the initial population: Do crossover on X2 and X6 (parents) and name offspring as X7 and X8. Consider one-point crossover and the crossover point between "c" and "d". Write chromosomes X7 and X8. Evaluate offspring generated by crossover operation above (Chromosomes X7 and X8). Do their fitness are better than their parents?
- Diffie-Hellman Key exchange is based on the difficulty of solving the Discrete Logarithm Problem. For instance, Alice and Bob agree on a prime number p=7 and a number (base) g=4. This is the public aspect of the system. Using this algorithm, find the kprivate.Q4. Discrete Zero-Knowledge Proofs: Alice and Bob both have the knowledge of the public variables p=17 and A=5. From these, they can compute B, using A* = B mod p. In addition, Alice knows x=10 and wants to prove to Bob that it knows the value of x without actually revealing it to Bob. Show the computations and communication that happens at different steps of the algorithm discussed in the course notes which finally prove to Bob that Alice knows the value of x without Alice revealing it.Q1: Fill the empty spaces regarding RSA key generation: Algorithm: RSA Key Generation Output: public key: kpub=(n, e) and private key kpr = d 1. Choose two large primes p, q 2. Compute n = 3. Compute (n) ********* ****** 4. Select the public exponent e exponent e E (1, 2,.... (n)-1} such that gcd(e, (n)) = . 5. Compute the private key d such that d*e = 1 mod 6. RETURN Kpub=(n, e), kpr = d 1