20 citations · 24 across the 5 of their papers we have counts for
6 papers
Good Locally Testable Codes
Irit Dinur, Shai Evra, Ron Livne +2
An explicit construction of locally testable codes of constant rate, constant distance and constant number of queries is given. Hence answering affirmatively the -problem.
Locally Testable Codes with constant rate, distance, and locality
Irit Dinur, Shai Evra, Ron Livne +2
A locally testable code (LTC) is an error-correcting code that has a property-tester. The tester reads bits that are randomly chosen, and rejects words with probability proport…
Automorphy of Calabi-Yau threefolds of Borcea-Voisin type over Q
Yasuhiro Goto, Ron Livne, Noriko Yui
We consider Calabi-Yau threefolds of Borcea-Voisin type over Q. They are constructed from products of K3 surfaces and elliptic curves. We use concrete K3 surfaces and discuss the a…
The modularity of K3 surfaces with non-symplectic group actions
Ron Livné, Matthias Schuett, Noriko Yui
We consider complex K3 surfaces with a non-symplectic group acting trivially on the algebraic cycles. Vorontsov and Kondo classified those K3 surfaces with transcendental lattice o…
Designing communication networks via Hilbert modular forms
Ron Livné
We give an explicit version of the Ramanujan-Petersson Conjecture for Hilbert Modular Forms, and deduce the "Ramanujan" property for certain cubical complexes. We reinterpret the r…
The arithmetic-geometric mean and isogenies for curves of higher genus
Ron Donagi, Ron Livne
Computation of Gauss's arithmetic-geometric mean involves iteration of a simple step, whose algebro-geometric interpretation is the construction of an elliptic curve isogenous to a…