The last two decades have seen enormous progress in the development of sublinear-time algorithms — i.e., algorithms that examine/reveal properties of “data” in less time tha...
Motivated by questions in property testing, we search for linear error-correcting codes that have the “single local orbit” property: i.e., they are specified by a single loca...
We survey known results regarding locally testable codes and locally testable proofs (known as PCPs), with emphasis on the length of these constructs. Local testability refers to a...
The rich collection of successes in property testing raises a natural question: Why are so many different properties turning out to be locally testable? Are there some broad "...
Arnab Bhattacharyya, Victor Chen, Madhu Sudan, Nin...