9.3. Exercise 9.2 asked you to determine the value of (p-1)! (mod p) when p is...
8. Let p be an odd prime. In this exercise, we prove a famous result that characterizes precisely when -1 has a sqare root 1 mod 4. (You will need Wilson's Theorem for one (mod p). Prove: a 2--1 mod p has a solution if and only if p dircction of the proof.) 8. Let p be an odd prime. In this exercise, we prove a famous result that characterizes precisely when -1 has a sqare root 1 mod 4....
Need help!! Please help — crypto math 1. Determine L13(18) for p 19. 2. Let p be prime, and α a primitive root mod p. Prove that α(p-1)/2-_1 (mod p). 3. It can be shown that 5 is a primitive root for the prime 1223. You want to solve the discrete logarithm problem 53 (mod 1223). You know 3611 Prove it. 1 (mod 1223). Is x even or odd? 1. Determine L13(18) for p 19. 2. Let p be prime,...
please complete exercises 10.4, 10.5, 10.6, 10.7 and 10.9, thank you so much! (I dont understand your comment what is qs 3.6?) 10.4 Exercise. Show that the algorithm descrihed in Question 3.6 for com puting a (mod n) is a polynomial time algorithm in the number of digits in r In the next scrics of problems you will cxplore the usc of this opcration as a means of testing for primality by starting with a familiar theorem. Theorem (Fermat's Little...
5.6 Exercise. Describe an RSA Public Key Code System based on the primes and 17. Encode and decode several messages Of coursc, the fun of being a spy is to break codes. So get on your trench coal, pull out your magnifying glass, and begin to spy. The next exercise asks you to break an RSA code and save the world 5.7 Excrcise. You are a secret agent. An evil spy with shallow mumber thery skills uses the RSA Public...
Problem 1: Implement an algorithm to generate prime numbers. You will need to implement the following ingredients (some of them you developed for earlier assignments): 1. A method to generate random binary numbers with n-digits (hint: for the most significant digit, you have no choice, it will be 1; similarly, for the least significant digit there is no choice, it will have to be 1; for all other position, generate 0 or 1 at random) 2. A method to compute...
3) Out of the following, name which kind of attack you carried out in part 1 and part2: a. ciphertext only, b. known plaintext, c. chosen plaintext, d. chosen ciphertext. Explain your answer Problem 3 10 points] A 4-bit long message was encrypted using one-time pad to yield a cipher-text “1010” Assuming the message space consists of all 4-bit long messages, what is the probability that the corresponding plaintext was “1001”? Explain your answer. Problem 4 Assume we perform a...
Please answer the exercise 9.2. I have included the spectrums. Please review attached images and table to help answer questions. Match the compounds to their corresponding spectrums. Thank you very much! Match each spectrum in exercise 9.2 of your text (pages 449-450) to a compound on the right. Remember that you can use Table 9.2 on page 439 to solve these puzzles along with some of the reading. cycloheptene H2N 4-methylaniline CI p-dichlorobenzene ethynylbenzene 3-methylphenol odobenzene Choose... Exercise 9.2 spectrum...
Brief Exercise 3-27 As CFO of a small manufacturing firm, you have been asked to determine the best financing for the purchase of a new piece of equipment. The vendor is offering repayment options of $12,000 at the end of each year for five years, or no payment for two years followed by one payment of $44,000. The current market rate of interest is 8%. Calculate present value of both options. (For calculation purposes, use 5 decimal places as displayed...
Question 12 of 14 (1 point) Attempt 1 of Unlimited View question in a popup 8.2 Section Exercise 52 (p-value Are you smarter than a second-grader? A random sample of 51 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x = 44. Assume the standard deviation of test scores is o=15. The nationwide average score on this test is 50. The school superintendent wants to know whether the second-graders in...
Please only answer if you know how to get the p-value. I've asked this question multiple times and keep getting the wrong answer. Thank you! Problem Valur por Problem Score Attempts Remain 1 point) An in c e company states that at least of its claims are sented within 30 days. A consumer group selected a found that of them were within 30 days. Does the consumer group have evidence to disbelieve the ndom sample of 66 of the company's...