Weizmann Logo
Electronic Colloquium on Computational Complexity

Under the auspices of the Computational Complexity Foundation (CCF)

Login | Register | Classic Style

All reports by Author Alexander Lubotzky:

TR24-019 | 2nd February 2024
Yotam Dikstein, Irit Dinur, Alexander Lubotzky

Low Acceptance Agreement Tests via Bounded-Degree Symplectic HDXs

Revisions: 1

We solve the derandomized direct product testing question in the low acceptance regime, by constructing new high dimensional expanders that have no small connected covers. We show that our complexes have swap cocycle expansion, which allows us to deduce the agreement theorem by relying on previous work.

Derandomized direct product ... more >>>

TR21-151 | 8th November 2021
Irit Dinur, Shai Evra, Ron Livne, Alexander Lubotzky, Shahar Mozes

Locally Testable Codes with constant rate, distance, and locality

Revisions: 1

A locally testable code (LTC) is an error correcting code that has a property-tester. The tester reads $q$ bits that are randomly chosen, and rejects words with probability proportional to their distance from the code. The parameter $q$ is called the locality of the tester.

LTCs were initially studied as ... more >>>

ISSN 1433-8092 | Imprint