A note on the explicit constructions of tree codes over polylogarithmic-sized alphabet

preprint2020arXivOpen access

Abstract

Recently, Cohen, Haeupler and Schulman gave an explicit construction of binary tree codes over polylogarithmic-sized output alphabet based on Pudlák's construction of maximum-distance-separable (MDS) tree codes using totally-non-singular triangular matrices. In this short note, we give a unified and simpler presentation of Pudlák and Cohen-Haeupler-Schulman's constructions.

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