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* SM503M-2526PSA01 - Mathematics for Cryptography (INGE-1-INT, INGE-1-BN, INGE-1)
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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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What is the (u,v) couple computed by the Extended Euclid algorithm such that : 726.u+681.v = pgcd(726,681) ?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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In , solve the equation .This equation has either no or several solutions.If this equation has no solution, the answser is 'no solution'.If this equation has several solutions, the answer is a list of integer numbers, separated with commas and no spaces. For example, the solution set for in is 4,11,18
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In , solve the equation .the answer is an integer numberbetween 0 et 41
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In calculate the inverse of .The answer is an integer number between 0 et 31If 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 value of : ?
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What is the (u,v) couple computed by the Extended Euclid algorithm such that : 261.u+205.v = pgcd(261,205) ?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 : 726.u+711.v = pgcd(726,711) ?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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In calculate the inverse of .The answer is an integer number between 0 et 33If has no inverse, the expected answer is : "no inverse"
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