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* SM503M-2526PSA01 - Mathematics for Cryptography (INGE-1-INT, INGE-1-BN, INGE-1)

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Federico wants to use the RSA cryptosystem and chooses the following data:

, , .

Is his data legitimate ?

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Alice and Bob wich to communicate using the RSA cryptosystem modulo

. The public key of Alice is

. What will be her

private key? Your answer should be a number.

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I am given the number and I decide to choose randomly a number between and . What is the probability that will be an acceptable public key for the RSA cryptosystem?

Your answer will be a number with three significant digits.

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Albert and Barnabe exchange information using the RSA cryptosystem. They

wish to check their identities using the authentification procedure.

Their information is given below. Barnabe receives the ciphered signature

. Is this Albert's signature ?

Your answer will be "yes" or "no" (without the inverted commas).

Albert :

    

Barnabe :

    

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durée estimée : 15 Minutes

The 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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durée estimée : 15 Minutes

The 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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In , solve the equation .

the answer is an integer numberbetween 0 et 41
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What is the (u,v) couple computed by the Extended Euclid algorithm such that :

458.u+434.v = pgcd(458,434) ?

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)
View this question
durée estimée : 15 Minutes

The 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 : .

View this question
what is the value of : ?
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