1 citations · 1 across the 5 of their papers we have counts for
5 papers
On the number of small Steiner triple systems with Veblen points
Mario Galici, Giuseppe Filippone
The concept of Schreier extensions of loops was introduced in the general case in [11] and, more recently, it has been explored in the context of Steiner loops in [6]. In the latte…
On the Discrete Logarithm Problem for elliptic curves over local fields
Giuseppe Filippone
The Discrete Logarithm Problem (DLP) for elliptic curves has been extensively studied since, for instance, it is the core of the security of cryptosystems like Elliptic Curve Crypt…
Exp function for Edwards curves over local fields
Giuseppe Filippone
We extend the map Exp for elliptic curves in short Weierstrass form over to Edwards curves over local fields. Subsequently, we compute the map Exp for Edwards curves…
Decoding algorithm for HL-codes and performance of the DHH-cryptosystem -- a candidate for post-quantum cryptography
Carolin Hannusch, Giuseppe Filippone
We give a decoding algorithm for a class of error-correcting codes, which can be used in the DHH-cryptosystem, which is a candidate for post-quantum cryptography, since it is of Mc…
Goppa codes over Edwards curves
Giuseppe Filippone
Given an Edwards curve, we determine a basis for the Riemann-Roch space of any divisor whose support does not contain any of the two singular points. This basis allows us to comput…