Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Pintore, Federico"'
We prove that the Hessian transformation of a plane projective cubic corresponds to a $3$-endomorphism of a model elliptic curve. By exploiting this result, we investigate a family of functional graphs -- called Hessian graphs -- defined by the Hessi
Externí odkaz:
http://arxiv.org/abs/2407.17042
In this paper we introduce a multistep generalization of the guess-and-determine or hybrid strategy for solving a system of multivariate polynomial equations over a finite field. In particular, we propose performing the exhaustive evaluation of a sub
Externí odkaz:
http://arxiv.org/abs/2304.07820
Publikováno v:
In Finite Fields and Their Applications September 2024 98
Publikováno v:
Journal of Mathematical Cryptology, Vol 18, Iss 1, Pp p. 64-93 (2024)
In this note, we assess the efficiency of a supersingular isogeny Diffie-Hellman (SIDH)-based digital signature built on a weaker variant of a recent identification protocol proposed by Basso et al. Despite the devastating attacks against (the mathem
Externí odkaz:
https://doaj.org/article/6b3c8760e9bb48a0a1eafd7d68bc94cb
Autor:
Pintore, Federico
In this thesis, I show that the representation of prime integers by reduced binary quadratic forms of given discriminant can be obtained in polynomial complexity using Schoof's algorithm for counting the number of points of elliptic curves over finit
Externí odkaz:
https://hdl.handle.net/11572/367967
The BIX protocol is a blockchain-based protocol that allows distribution of certificates linking a subject with his public key, hence providing a service similar to that of a PKI but without the need of a CA. In this paper we analyze the security of
Externí odkaz:
http://arxiv.org/abs/1607.08401
Autor:
Elia, Michele, Pintore, Federico
It is shown that, under some mild technical conditions, representations of prime numbers by binary quadratic forms can be computed in polynomial complexity by exploiting Schoof's algorithm, which counts the number of $\mathbb F_q$-points of an ellipt
Externí odkaz:
http://arxiv.org/abs/1604.06586
Publikováno v:
Journal of Algebra & Its Applications; Jun2024, Vol. 23 Issue 7, p1-36, 36p
Akademický článek
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