Prove that the RSA Cryptosystem is insecure against a chosen ciphertext attack. In particular, given a...
Prove that the RSA Cryptosystem is insecure against a chosen ciphertext attack. In particular, given a ciphertext y, describe how to choose a ciphertext y'=/y such that knowledge of the plaintext x'=d_k(y') allows x=d_k(y) to be computed. Hint: Use the multiplicative property of the RSA Cryptosystem.
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Prove that the RSA Cryptosystem is insecure against a chosen
ciphertext attack. In particular, given a...
O-8. (15 points) Bob's simple toy RSA eryptosystem has public key kyub(n, e) (65,5), where n =p,-...
o-8. (15 points) Bob's simple toy RSA eryptosystem has public key kyub(n, e) (65,5), where n =p,-5x13-65 and e-5. I. Describe the key pair generation procedure for Bob to generate his private key kor- d. With the above given parameters, use EEA to calculate d 2. Describe RSA encryption procedure that Alice uses to encrypt her plaintext message x to its above given parameters, what will be y? ciphertext y before sending the message to Bob. Suppose Alice's message x-...
3) Out of the following, name which kind of attack you carried out in part 1...
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...
2. Alice is a student in CSE20. Having learned about the RSA cryptosystem in class, she...
2. Alice is a student in CSE20. Having learned about the RSA cryptosystem in class, she decides to set-up her own public key as follows. She chooses the primes p=563 and q = 383, so that the modulus is N = 21 5629. She also chooses the encryption key e-49. She posts the num- bers N = 215629 and e-49 to her website. Bob, who is in love with Alice, desires to send her messages every hour. To do so,...
3. Let X be a random variable with possible outcomes 11,..., In, and Y a random...
3. Let X be a random variable with possible outcomes 11,..., In, and Y a random variable with possible outcomes 1.... ym. Let Z be a random variable that corresponds to testing X followed by Y, so the possible outcomes are pairs (x,y) with P(x, y) = P(x) P(y) Use the definition of entropy to prove that H(Z) = H(X) + H(Y). This is a special case of property 3 from Shannon's theorem. Definition. The Key Equivocation of a cryptosystem...
Write code for RSA encryption package rsa; import java.util.ArrayList; import java.util.Random; import java.util.Scanner; public class RSA...
Write code for RSA encryption package rsa; import java.util.ArrayList; import java.util.Random; import java.util.Scanner; public class RSA { private BigInteger phi; private BigInteger e; private BigInteger d; private BigInteger num; public static void main(String[] args) { Scanner keyboard = new Scanner(System.in); System.out.println("Enter the message you would like to encode, using any ASCII characters: "); String input = keyboard.nextLine(); int[] ASCIIvalues = new int[input.length()]; for (int i = 0; i < input.length(); i++) { ASCIIvalues[i] = input.charAt(i); } String ASCIInumbers...
PROBLEM 2: THE INDICATOR FUNCTION OF THE RATIONAL NUMBERS For a while, it was believed that any given function should be mostly continuous. This is reasonable, given the types of functions one typica...
PROBLEM 2: THE INDICATOR FUNCTION OF THE RATIONAL NUMBERS For a while, it was believed that any given function should be mostly continuous. This is reasonable, given the types of functions one typically sees in Calculus courses, where the worst case scenario involves a function that is defined piecewise and is continuous everywhere, except for some finite set of discontinuities, where the value of the function drops or jumps. It was also believed that every function should be integrable, which...
Need help with number 3 the last one Need help with number 3 I have already...
Need help with number 3 the last one
Need help with number 3
I have
already given the whole question
MATH 1030 – Application Assignment 3 Cryptography Due: Thursday, June 4, 2020 at 11:59pm Atlantic time (submit through Brightspace) You must show your work for full marks. The goal of this assignment is to use our knowledge of linear algebra to do cryptography. We will encrypt a plaintext using a cipher where the resulting ciphertext should not be legible unless...
Hello, i did a lab where i was given a sample of contaminated water and must determine the identity of the metals and m...
Hello, i did a lab where i was given a sample of contaminated water
and must determine the identity of the metals and must percipitate
one out. I was able to determine the identity of metal Y which is
aluminium and metal X which is lithium. Im confused on part 3
though. lithium and alumnium are soluble in almost anything and i
cant use hydroxide or carbonate since lithium is in there, some
help please! I would also like to...
Q3 Preliminary material The homework assignment is found on the next page. Our goal in this homework is to develop...
Q3
Preliminary material The homework assignment is found on the next page. Our goal in this homework is to develop an algorithm for solving equations of the form f (x) (1) = X where f is a function S S, for some S C R". This kind of problem is sometimes called fixed point problem, and a solution x of problem (1) is called a fixed point of f. The algorithm we will consider is the following: a Step 0....
2. It is estimated that 70% of all visitors to a given website are college students....
2. It is estimated that 70% of all visitors to a given website are college students. The remaining 30% are either college graduates or have not attended college. Suppose the website had twelve visitors in the last two hours. (a) Let X be the number of visitors (among the twelve) who are college students. What assumptions need to be satisfied in order for X to obey a binomial distri bution? (b) Modeling X as a binomially distributed random variable, what...
o-8. (15 points) Bob's simple toy RSA eryptosystem has public key kyub(n, e) (65,5), where n =p,-5x13-65 and e-5. I. Describe the key pair generation procedure for Bob to generate his private key kor- d. With the above given parameters, use EEA to calculate d 2. Describe RSA encryption procedure that Alice uses to encrypt her plaintext message x to its above given parameters, what will be y? ciphertext y before sending the message to Bob. Suppose Alice's message x-...
2. Alice is a student in CSE20. Having learned about the RSA cryptosystem in class, she decides to set-up her own public key as follows. She chooses the primes p=563 and q = 383, so that the modulus is N = 21 5629. She also chooses the encryption key e-49. She posts the num- bers N = 215629 and e-49 to her website. Bob, who is in love with Alice, desires to send her messages every hour. To do so,...
3. Let X be a random variable with possible outcomes 11,..., In, and Y a random variable with possible outcomes 1.... ym. Let Z be a random variable that corresponds to testing X followed by Y, so the possible outcomes are pairs (x,y) with P(x, y) = P(x) P(y) Use the definition of entropy to prove that H(Z) = H(X) + H(Y). This is a special case of property 3 from Shannon's theorem. Definition. The Key Equivocation of a cryptosystem...
PROBLEM 2: THE INDICATOR FUNCTION OF THE RATIONAL NUMBERS For a while, it was believed that any given function should be mostly continuous. This is reasonable, given the types of functions one typically sees in Calculus courses, where the worst case scenario involves a function that is defined piecewise and is continuous everywhere, except for some finite set of discontinuities, where the value of the function drops or jumps. It was also believed that every function should be integrable, which...
Need help with number 3 the last one
Need help with number 3
I have
already given the whole question
MATH 1030 – Application Assignment 3 Cryptography Due: Thursday, June 4, 2020 at 11:59pm Atlantic time (submit through Brightspace) You must show your work for full marks. The goal of this assignment is to use our knowledge of linear algebra to do cryptography. We will encrypt a plaintext using a cipher where the resulting ciphertext should not be legible unless...
Hello, i did a lab where i was given a sample of contaminated water
and must determine the identity of the metals and must percipitate
one out. I was able to determine the identity of metal Y which is
aluminium and metal X which is lithium. Im confused on part 3
though. lithium and alumnium are soluble in almost anything and i
cant use hydroxide or carbonate since lithium is in there, some
help please! I would also like to...
Q3
Preliminary material The homework assignment is found on the next page. Our goal in this homework is to develop an algorithm for solving equations of the form f (x) (1) = X where f is a function S S, for some S C R". This kind of problem is sometimes called fixed point problem, and a solution x of problem (1) is called a fixed point of f. The algorithm we will consider is the following: a Step 0....
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