• The Inria's Research Teams produce an annual Activity Report presenting their activities and their results of the year. These reports include the team members, the scientific program, the software developed by the team and the new results of the year. The report also describes the grants, contracts and the activities of dissemination and teaching. Finally, the report gives the list of publications of the year.

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## Section: New Results

### A New Public-Key Cryptosystem via Mersenne Numbers

In [13], we propose a new public-key cryptosystem whose security is based on the computational intractability of the following problem: Given a Mersenne number $p={2}^{n}-1$ where n is a prime, a positive integer h , and two n -bit integers T,R , find two n -bit integers F,G each of Hamming weight at most h such that T = F ·R+G modulo p , under the promise that they exist.