Anders Mogren: Pailliers kryptosystem - en exposé

Abstract.

In this bachelor’s thesis, Paillier’s encryption system is described—an asymmetric encryption method with applications in secure data management and homomorphic encryption, among other areas. The paper provides a historical overview and presents the theoretical and mathematical background of the encryption system. The underlying mathematical problem is addressed, accompanied by a fairly comprehensive description of the mathematical group in which the system is primarily used.

The results emphasize the strengths of Paillier’s cryptosystem and highlight its vulnerabilities and limitations. There is a brief discussion on system performance, shortcomings, and advantages compared to other encryption methods.