Towards deterministic tree code constructions

Mark Braverman · 2012

We present a deterministic operator on tree codes -- we call tree code product -- that allows one to deterministically combine two tree codes into a larger tree code. Moreover, if the original tree codes are efficiently encodable and decodable, then so is their product. This allows us to give the first deterministic subexponential-time construction of explicit tree codes: we are able to construct a tree code T of size n in time 2nε,. Moreover, T is also encodable and decodable in time 2nε,.

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