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

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Let , calculate its order in the group.

The answer is an integer number.
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EXERCISE - estimated duration : 10 minutes

Andrew and Bill use the Elgamal cryptosystem, with the following data :

public domain :

Andrew :

    public key :

    private key :

Bill :

    public key :

    private key : ??

Andrew wants to send the message to Bill

He chooses

What is the couple of values Andrew should send to Bill ?

Your answer will be a couple of numbers, with parenthesis, and separated by a comma. For example, if you think that those values are and , your answser will be . Don't add extra spaces after the comma or around the parenthesis
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EXERCISE - 3 points - estimated duration : 10 minutes

Andrew and Bill use the Elgamal cryptosystem, with the following data :

public domain :

Andrew :

    public key :

    private key :

Bill :

    public key :

    private key : ??

Andrew receives the ciphered message : from Bill

What is the original message?

The answer is an integer 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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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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Nicolas wants to use the RSA cryptosystem and chooses the following data:

, , .

Is his data legitimate ?

100%
0%
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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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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.

View this question

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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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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