activity
20232026
most citedOn the number of small Steiner triple systems with Veblen points

1 citations · 2 across the 7 of their papers we have counts for

collaborators

7 papers

math.GM2026

Fuzzy OWL 2 Reasoning: A Re-Engineered Python Framework

Fernando Bobillo, Giuseppe Filippone, Gianmarco La Rosa +2

In many real-world domains, knowledge is inherently vague or imprecise - features that classical ontology languages, based on crisp Description Logics (DLs), are unable to capture.…

math.CO2024★ 1 cited

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…

math.AG2023

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…

math.NT2023

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…

cs.CR2023

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…

math.AG2023★ 1 cited

Mumford representation and Riemann Roch space of a divisor on a hyperelliptic curve

Giovanni Falcone, Giuseppe Filippone

For an (imaginary) hyperelliptic curve of genus , with a Weierstrass point , taken as the point at infinity, we determine a basis of the Riemann-Roch space $\…

math.AG2023

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…