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- Elliptic Curves: Let E5(0,1) be an elliptic curve defined over Z5. E5(0,1): y2 mod 5=x3+1 mod 5 Assume two people A and B want to exchange a secret key using Elliptic Curve Diffie-Hellman Key Exchange (ECDH) method. Given the two private key nA=3 and nB=2, please calculate the public keys PA and PB and the secret key K. NO SPAM!!! PLEASE SHOW PROCEDURES WITH CORRECT ANSWER!!!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.The encrypted version of a message is "DEZA RWZMLW HLCXTYR." If it was encrypted using the function f(p) : cipher), what was the original message? (p + 11) mod 26 (the Caesar
- The chef is getting bored with the recent lockdowns caused by the coronavirus epidemic. After some time he started learning cryptography. He is very excited to see the different types of keys used in cryptography and decides to invent a new type of key. First, Chef created a sequence of integers A1,A2,......An that lie between 1 and M inclusive. After many sleepless nights, he decided that his key would be the LCM of this sequence, but he is not satisfied - he wants to make his key as big as possible. To do this, he wants to append exactly one more integer to the sequence. This integer must also be between 1 and M, inclusive. Help the chef to maximize the key. Find the integer that Chef should append to the sequence so that the key (LCM of the elements of the resulting sequence) is as large as possible. If there are multiple solutions, choose the smallest of the integers to connect that maximizes the LCM.Input Note: please answer this in java language only. 1 32 212 Output 1Answer all 3 must else ?Hi! This is not a graded question I just need it for my reviewer. Thanks! 2.Recall that a public-key cryptosystem consists of three functions: A key generator G, an encryption function E, and a decryption function D. Any user, say Alice (A), can use the key generator to generate a key pair (PKA, SKA), in which PKA is Alice’s public key, and SKA is her secret key; she can then publish her name and public key in a directory. Subsequently, anyone who wants to send a private message x to Alice can look up PKA in the directory, compute a ciphertext y ←− E(x, PKA), and send y to Alice over an open line. Only Alice can compute x ←− D(y, SKA), because only she knows the decryption key SKA that corresponds to encryption key PKA. Note that there is no need for a key-distribution center, as there is when one is using a symmetric-key cryptosystem, but there is a need for public-key directories. a) What is a public-key certificate? What is the problem with public-key directories that certificates…
- 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?One of the one-way functions used in public key cryptography is the discrete logarithm. Computing r = ge mod p from g, e, and p is easy. But given only r, g and p, recovering e is hard. Suppose p 1801, = 9 6 and r = 84. = What is the smallest positive integer e such that r = ge mod p?Question 2: Encoding Cryptography is the study of trying to create secure information by obscuring the original message. One simple encryption method is to substitute letters from the original message with other letters. To make it harder to decrypt the hidden message, we may also remove clues such as the length of the words in the message and any punctuation or capitalization. Write a function encode that consumes a string message. The function produces a string which is encrypted according the following procedure: • Only the letters from the original message will be encrypted. Other characters such as spaces, punctuation, numeric digits, etc. are not included in the encrypted message at all. • The encrypted message will only contain uppercase letters. • Each letter will be replaced by the uppercase letter at the opposite end of the English alphabet. In other words, A or a will become z, B or b will become Y, C or c will become x, .., z or z will become A. • The encrypted message will…
- Question 2: Encoding Cryptography is the study of trying to create secure information by obscuring the original message. One simple encryption method is to substitute letters from the original message with other letters. To make it harder to decrypt the hidden message, we may also remove clues such as the length of the words in the message and any punctuation or capitalization. Write a function encode that consumes a string message. The function produces a string which is encrypted according the following procedure: * Only the letters from the original message will be encrypted. Other characters such as spaces, punctuation, numeric digits, etc. are not included in the encrypted message at all. * The encrypted message will only contain uppercase letters. * Each letter will be replaced by the uppercase letter at the opposite end of the English alphabet. In other words, A or a will become Z, B or b will become Y, C or c will become X, ..., Z or z will become A. * The encrypted message…Question 2: Encoding Cryptography is the study of trying to create secure information by obscuring the original message. One simple encryption method is to substitute letters from the original message with other letters. To make it harder to decrypt the hidden message, we may also remove clues such as the length of the words in the message and any punctuation or capitalization. Write a function encode that consumes a string message. The function produces a string which is encrypted according the following procedure: * Only the letters from the original message will be encrypted. Other characters such as spaces, punctuation, numeric digits, etc. are not included in the encrypted message at all. * The encrypted message will only contain uppercase letters. * Each letter will be replaced by the uppercase letter at the opposite end of the English alphabet. In other words, A or a will become Z, B or b will become Y, C or c will become X, ..., Z or z will become A. * The encrypted message…One of the one-way functions used in public key cryptography is the discrete logarithm. Computing r = gº mod p from g, e, and p is easy. But given only r, g and p, recovering e is hard. Suppose p 1597, 2 and r = 128. What is the smallest positive integer e such that r = ge mod p?