Results 101 to 110 of about 3,187 (201)

2-adic Galois images of non-CM isogeny-torsion graphs

, 2023
Let $\mathcal{E}$ be a $\mathbb{Q}$-isogeny class of elliptic curves defined over $\mathbb{Q}$ without CM. The isogeny graph associated to $\mathcal{E}$ is a graph which has a vertex for each elliptic curve in $\mathcal{E}$ and an edge for each $\mathbb ...
Chiloyan, Garen
core  

Isogeny-based post-quantum proxy signature for Internet of Things

Scientific Reports
The rapid growth of the Internet of Things (IoT) introduces challenges in secure authentication and delegation due to the limited computational capabilities of devices. Proxy signature schemes offer an effective solution by enabling controlled delegation
Somnath Kumar, Kunal Dey, Vikas Srivastava, Sumit Kumar Debnath, Ashok Kumar Das, Shehzad Ashraf Chaudhry   +5 more
doaj   +1 more source

Quantum Paradox: Redefining Secure Communication With Quantum and Post-Quantum Cryptographic Breakthroughs

IEEE Access
The rapid advancement of quantum computing, exemplified by Shor’s and Grover’s algorithms, poses an existential threat to the Rivest-Shamir-Adleman algorithm, elliptic curve cryptography, and symmetric encryption.
Anuththara Hettiarachchi, Amila Nuwan Senarathne, Kapila Dissanayaka   +2 more
doaj   +1 more source

Hyper-Kähler Manifolds of Generalized Kummer Type and the Kuga-Satake Correspondence. [PDF]

Milan J Math, 2022
Varesco M, Voisin C.
europepmc   +1 more source

{KLaPoTi}: An asymptotically efficient isogeny group action from 2-dimensional isogenies

IACR Communications in Cryptology
We construct and implement an efficient post-quantum commutative cryptographic group action based on combining the SCALLOP framework for group actions from isogenies of oriented elliptic curves on one hand with the recent Clapoti method for polynomial-time evaluation of the CM group action on elliptic curves on the ...
Lorenz Panny, Christophe Petit 0001, Miha Stopar   +2 more
openaire   +3 more sources

Isogenies & Isometries

XXI, 461 p.
openaire   +4 more sources

Oblivious signature based on the theory of elliptic curve isogeny

Научно-технический вестник информационных технологий, механики и оптики
This paper presents a novel 1-out-of-n post-quantum oblivious signature scheme based on supersingular elliptic curve isogenies. The proposed scheme is built upon the Commutative Supersingular Isogeny based Fiat-Shamir scheme whose security relies on the ...
A. F. Khutsaeva
doaj   +1 more source

Galois action on $\bar{\mathbb Q}$-isogeny classes of abelian $L$-surfaces with quaternionic multiplication

, 2017
We construct a projective Galois representation attached to an abelian L-surface with quaternionic multiplication, describing the Galois action on its Tate module.
Molina Blanco, Santiago, Santiago Molina
core   +1 more source

Non-Invertible Public Key Certificates. [PDF]

Entropy (Basel), 2021
Lizama-Perez LA, López R JM.
europepmc   +1 more source

Lattices in Tate modules. [PDF]

Proc Natl Acad Sci U S A, 2021
Poonen B, Rybakov S.
europepmc   +1 more source