The course gives an introduction to elliptic curves, at central topic in number theory and in algebraic geometry with applications in data security/cryptography. PhD candidates from the Faculty of ...

Elliptic curve cryptography (ECC) uses points on an elliptic curve to derive a 163-bit public key that is equivalent in strength to a 1024-bit RSA key. The public key is created by agreeing on a ...

including types and traits for representing various elliptic curve forms, scalars, points, and public/secret keys composed thereof. All curves reside in the separate crates and implemented using ...

F. Loray and V. Ramírez. A map between moduli spaces of connections. arxiv: 1910.13535v3. We study a moduli space of rank 2 logarithmic sl2-connections on an elliptic curve having two poles. To do so, ...

By leveraging the computational strength of elliptic curves, our IP Core enables rapid and reliable generation of ECDSA signatures, empowering secure digital transactions and communications.

Abstract: This chapter presents an overview of elliptic curves as well as some cryptographic and geometric applications. In particular, it presents a detailed derivation of the algebraic formula for ...

Furthermore, it covers all NIST P curves with a single IP core instance and also allows the use of user-specified elliptic curves. Xiphera's Asymmetric Cryptography IP cores provide cutting-edge ...