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* SM503M-2526PSA01 - Mathematics for Cryptography (INGE-1-INT, INGE-1-BN, INGE-1)
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Consider the set equipped with the commutative and associative binary operation described in the table below:
If is a not group, your answer will be "no".
If is a group, find the order of the element (in this case your answer will be a number).
Anna and Benoît exchange messages using the following coding table.
Moreover, they use as message unit the tetratagrams (blocks of four letters) that they encode as a number in the following
way:
For example, the word "TEST" becomes the number .
They use the Elgamal cryptosystem with public domain .
Anna's public and private keys are .
Benoît's public and private keys are .
Anna receives the message from Benoît. To which four-letter word this message correponds to ?
Your answer will be a four-letter word in capital letters.
Anna and Benoît exchange messages using the following coding table for characters:
Moreover, they use as message unit the tetratagrams (blocks of four letters) that they encode as a number in the following way:
For example, the word "TEST" becomes the number .
They use the Elgamal cryptosystem with public domain .
Anna's public and private keys are .
Benoît's public and private keys are .
Anna receives the message from Benoît. To which four-letter word this message correponds to ?
Your answer will be a four-letter word in capital letters.