Université de Neuchâtel

Trace-zero subgroups of elliptic and twisted Edwards curves : a study for cryptographic applications

Bianco, Giulia ; Gorla, Elisa (Dir.)

Thèse de doctorat : Université de Neuchâtel, 2017.

In 1999, Frey first suggested trace-zero subgroups of elliptic curves for applications to cryptography, as a valid alternative to the use of classical groups of points of elliptic curves in this sector. Take an elliptic curve $E$ defined over a finite field $\mathbb{F}_q$, with the standard addition between points. Given a field extension $\mathbb{F}_q\subseteq \mathbb{F}_{q^n}$ of odd prime...

Université de Neuchâtel

Properties and constructions of codes with the rank and the subspace metric

Ravagnani, Alberto ; Gorla, Elisa (Dir.)

Thèse de doctorat : Université de Neuchâtel, 2016.

In 2000 Ahlswede, Cai, Li, and Yeung discovered that employing coding techniques in network transmissions at the intermediate nodes of the network may give substantial gains in information throughput. These results originated a new research field, called network coding, concerned with efficiency and reliability of communications over networks. Network coding started to draw the attention...