Seminario: "An overview about elliptic curve cryptosystems and pairings" - Simone Dutto

Seminario di De Cifris Augustae Taurinorum, in collaborazione con il Dipartimento di Scienze Matematiche "G.L. Lagrange" del Politecnico di Torino, il Dipartimento di Matematica "G. Peano" dell'Università degli Studi di Torino, Quadrans Foundation e Telsy SPA.

"An overview about elliptic curve cryptosystems and pairings"
Simone Dutto - Università degli Studi di Torino e Politecnico di Torino

Giovedì 18 Aprile 2019 - ore 14:00
Aula Buzano - Dipartimento di Scienze Matematiche
Politecnico di Torino

Abstract: In the last three decades, public key cryptography has become an indispensable component of our global communication digital infrastructure. Many of our most crucial communication protocols rely principally on three core cryptographic functionalities: public key encryption, digital signatures, and key exchange. This seminar focuses on one of the main systems adopted in implementing these functionalities: the Elliptic Curve Cryptosystems (ECC), whose security depends on the difficulty of the Discrete Log Problem in the group defined by an elliptic curve over a finite field. Another interesting system can be obtained by exploiting pairings on the divisor class group of an underlying algebraic variety, thus defining the Pairing-Based Cryptography (PBC). In particular, the Weil and Tate pairings will be of main interest, since they are the only known admissible pairings that are suitable for cryptography and they evolve cryptographic primitives of ECC when defined on elliptic curves.

Slides dell'evento: Le slides utilizzate durante il seminario possono essere scaricate qui (1,54 MB).