Author

Eshan Chattopadhyay

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Preprint Oct 2026

Two-Sided Product Expanding Codes via Rademacher Matrices

We give a proof of the existence of two-sided product expanding codes which, unlike the earlier result of Kalachev and Panteleev (FOCS, 2025), does not rely on explicit constructions of asymptotically optimal locally testable codes ($c^3$-LTCs). For every fixed number of component codes and dimensions whose rates are b...

Eshan Chattopadhyay, Noam Ringach, Nicholas Spooner · 0 citations

Preprint Sep 2026

A Resolution of Friedgut's Conjecture on Influential Coalitions

We prove that, for every constant $\varepsilon>0$ and every function $f:\Sigma^n\to\{0, 1\}$, there is a coalition of $O(n/\sqrt{\log n})$ coordinates and a target output $b\in\{0, 1\}$ such that, after the remaining coordinates are sampled uniformly and independently, the coalition can choose its values to make the ou...

Eshan Chattopadhyay, Mohit Gurumukhani · 1 citation · ⚡1