# Seminars & Colloquia Calendar

## Explicit Binary Tree Codes with Polylogarithmic Size Alphabet

#### Gil Cohen

Location: ** CoRE 301**

Date & time: Wednesday, 14 February 2018 at 11:00AM - 12:00PM

Abstract: In this talk, we consider the problem of explicitly constructing a binary tree code with constant distance and constant alphabet size. We give an explicit binary tree code with constant distance and alphabet size polylog(n), where n is the depth of the tree. This is the first improvement over a two-decade-old construction that has an exponentially larger alphabet of size poly(n). For analyzing our construction, we prove a bound on the number of integral roots a real polynomial can have in terms of its sparsity with respect to a suitable basis--a result of independent interest.

Joint work with Bernhard Haeupler and Leonard Schulman.

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