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* SM503M-2526PSA01 - Mathematics for Cryptography (INGE-1-INT, INGE-1-BN, INGE-1)
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What is the (u,v) couple computed by the Extended Euclid algorithm such that : 1536.u+1352.v = pgcd(1536,1352) ?The answer should be a (u,v) couple of integer numbers. For example, if you have found that u = 31 and v = -12, the expected answer is (31,-12)
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What is the (u,v) couple computed by the Extended Euclid algorithm such that : 1272.u+1020.v = pgcd(1272,1020) ?The answer should be a (u,v) couple of integer numbers. For example, if you have found that u = 31 and v = -12, the expected answer is (31,-12)
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Albert and Bernard choose the Elgamal cryptosystem to communicate. They have the following information:
Public domain: Albert: public key: private key: Bernard: public key: private key: ??Albert receives from Bernard the message: (20,23)What is the plaintext ?
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Let , calculate its order in the group.The answer is an integer number.
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durée estimée : 15 MinutesThe alphabet contains characters, we use an affine Vigenere's transformation system based on 2x2 matrices .Here are two ciphering keys :1) Among those two keys, only one is correct. Which of the two keys is correct ?2) Calculate the deciphering key corresponding to the correct key.3) Decipher the following bigram : .
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Give the list of all elements that have an inverse in the answer is a list of values separates with commas, with no spacesexample : the list of invertible elements in is 1,3,7,9
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In calculate the inverse of .The answer is an integer number between 0 et 28If has no inverse, the expected answer is : "no inverse"
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what is the value of : ?
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What is the (u,v) couple computed by the Extended Euclid algorithm such that : 1860.u+1404.v = pgcd(1860,1404) ?The answer should be a (u,v) couple of integer numbers. For example, if you have found that u = 31 and v = -12, the expected answer is (31,-12)
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what is the value of : ?
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