An old encryption system uses 20-bit keys. A cryptanalyst, who wants to brute-force attack the encryption system, is working on a computer system with a performance rate N keys per second. a- How many possible keys will be available in the above encryption system? b- What will be the maximum number of keys per second (N) that the computer system is working with, if the amount of time needed to brute-force all the possible keys was 512 milli seconds? Show you detailed calculations.
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An old encryption system uses 20-bit keys. A cryptanalyst, who wants to brute-force attack the encryption system, is working on a computer system with a performance rate N keys per second.
a- How many possible keys will be available in the above encryption system?
b- What will be the maximum number of keys per second (N) that the computer system is working with, if the amount of time needed to brute-force all the possible keys was 512 milli seconds? Show you detailed calculations.
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- A fast computer is used to break a ciphertext (A) using columnar transposition cipher that needs 150attempts, the speed of processor is 4 MIPS (million instructions per second), and each attempt needs5 instructions. Another computer of speed 3 MIPS is used to break ciphertext (B) using Caesar Cipherthat needs 110 attempts, and each attempt needs 4 instructions for ciphertext (B). Determine whichciphertext will be broken first (consider the worst case, i.e. the last attempt is the successful one),write your answer in details?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.A cryptanalyst has determined that the three most common trigraphs in a ciphertext are LME, WRI, and ZYC, and guesses that these ciphertext trigraphs correspond to the three most common trigraphs in English text, THE, AND, and THA. If the plaintext was encrypted using a Hill trigraphic cipher described by C ≡ AP (mod 26), what are the entries of the 3 × 3 encrypting matrix A?
- Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y = 38 and 3x - 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10. Ex: If the input is: 8 7 38 3 -5 -1 Then the output is: x = 3 , y = 2 Use this brute force approach: For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish. Ex: If no solution is found, output: There is no solution Assume the two input equations have no more than one solution. Note: Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy.Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y = 38 and 3x - 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10. Ex: If the input is: 8 7 38 3 -5 -1 Then the output is: x = 3 , y = 2 Use this brute force approach: For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish. Ex: If no solution is found, output: There is no solution You can assume the two equations have no more than one solution. Note: Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy. ''' Read in first equation, ax + by = c '''a = int(input())b = int(input())c = int(input()) ''' Read in second equation, dx + ey = f '''d…Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y = 38 and 3x - 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10. Ex: If the input is: 8 7 38 3 -5 -1 Then the output is: x = 3 , y = 2 Use this brute force approach: For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish. Ex: If no solution is found, output: There is no solution You can assume the two equations have no more than one solution. Note: Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy. What is the code in python?
- Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y = 38 and 3x - 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10. Ex: If the input is: 8 7 38 3 -5 -1 then the output is: 3 2 Use this brute force approach: For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish. Ex: If no solution is found, output: No solution You can assume the two equations have no more than one solution. Note: Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy.Messages are to be encoded using the RSA method, and the primes chosen are p “ 17 and q “ 19, so that n “ pq “ 323, and e “ 19. Thus, the public key is p323, 19q. (a) Show that the decryption exponent d (your private key) is 91.Let's consider a system where for security parametern, running for109∗n3clock cycles can break an encryption scheme with probability16∗n10∗2−n. Ifn=64, this probability is 1 (magic!) for109∗n3=109∗643clock cycles, requiring a running timeTof about three days on a1Ghzcomputer. Now a more powerful8Ghzcomputer becomes available. Butnis also doubled to 128 in the encryption scheme as well. Using the same running timeTas before on the new computer, what is the probability for this system to break this current encryption scheme? Please clearly show how you arrive at the conclusion. (Hint: First find out how much computation can be done in the given time on the new computer. Then you can see how that relates to the success probability.). Please type answer no write by hend.
- In an RSA system, the public key of a given user is e = 65, n = 2881. What is the private key of this user? Hint: First use trial-and-error to determine p and q; then use the extended Euclidean algorithm to find the multiplicative inverse of 31 modulo n. Write it understandable.A B C D X1 a1 b1 c3 L X2 a2 b1 c1 L X3 a2 b2 c1 H X4 a2 b2 c2 H X5 a2 b1 c1 L X6 a2 b2 c1 H X7 a2 b1 c2 H X8 a1 b2 c2 L From the table above, assuming the min confidence is 35%, and minsup is 37%, which of the following rules are strong? a. a1 => c3 b. L => b1 c. a2, b2 => H d. a1, b1 => L(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.