Zobrazeno 1 - 10
of 61
pro vyhledávání: '"De Feo, Luca"'
Autor:
De Feo, Luca1 feo@zurich.ibm.com, Poettering, Bertram1 poe@zurich.ibm.com, Sorniotti, Alessandro1 aso@zurich.ibm.com
Publikováno v:
Communications of the ACM. Jun2023, Vol. 66 Issue 6, p107-115. 9p. 1 Black and White Photograph, 2 Charts, 3 Graphs.
Let $\mathcal{E}/\mathbb{F}_q$ be an elliptic curve, and $P$ a point in $\mathcal{E}(\mathbb{F}_q)$ of prime order $\ell$. V\'elu's formulae let us compute a quotient curve $\mathcal{E}' = \mathcal{E}/\langle{P}\rangle$ and rational maps defining a q
Externí odkaz:
http://arxiv.org/abs/2003.10118
Autor:
Cervantes-Vázquez, Daniel, Chenu, Mathilde, Chi-Domínguez, Jesús-Javier, De Feo, Luca, Rodríguez-Henríquez, Francisco, Smith, Benjamin
CSIDH is a recent quantum-resistant primitive based on the difficulty of finding isogeny paths between supersingular curves. Recently, two constant-time versions of CSIDH have been proposed: first by Meyer, Campos and Reith, and then by Onuki, Aikawa
Externí odkaz:
http://arxiv.org/abs/1907.08704
Lattices of compatibly embedded finite fields are useful in computer algebra systems for managing many extensions of a finite field $\mathbb{F}_p$ at once. They can also be used to represent the algebraic closure $\bar{\mathbb{F}}_p$, and to represen
Externí odkaz:
http://arxiv.org/abs/1906.00870
Autor:
Ghezzi, Laura, Bollman, Bryan, De Feo, Luca, Piccio, Laura, Trapp, Bruce D., Schmidt, Robert E., Cross, Anne H.
Publikováno v:
In Laboratory Investigation June 2023 103(6)
Publikováno v:
ASIACRYPT 2018, Dec 2018, Brisbane, Australia
We revisit the ordinary isogeny-graph based cryptosystems of Couveignes and Rostovtsev-Stolbunov, long dismissed as impractical. We give algorithmic improvements that accelerate key exchange in this framework, and explore the problem of generating su
Externí odkaz:
http://arxiv.org/abs/1809.07543
Autor:
De Feo, Luca
These lectures notes were written for a summer school on Mathematics for post-quantum cryptography in Thi\`es, Senegal. They try to provide a guide for Masters' students to get through the vast literature on elliptic curves, without getting lost on t
Externí odkaz:
http://arxiv.org/abs/1711.04062
Let $\mathbb{F}_q$ be a finite field. Given two irreducible polynomials $f,g$ over $\mathbb{F}_q$, with $\mathrm{deg} f$ dividing $\mathrm{deg} g$, the finite field embedding problem asks to compute an explicit description of a field embedding of $\m
Externí odkaz:
http://arxiv.org/abs/1705.01221
Publikováno v:
LMS J. Comput. Math. 19 (2016) 267-282
Consider two elliptic curves $E,E'$ defined over the finite field $\mathbb{F}_q$, and suppose that there exists an isogeny $\psi$ between $E$ and $E'$. We propose an algorithm that determines $\psi$ from the knowledge of $E$, $E'$ and of its degree $
Externí odkaz:
http://arxiv.org/abs/1603.00711
Autor:
De Feo, Luca
Dans cette thèse nous appliquons des techniques provenant du calcul formel et de la théorie des langages afin d'améliorer les opérations élémentaires dans certaines tours de corps finis. Nous appliquons notre construction au problème du calc