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

02/19/2020
by   Siddharth Bhandari, et al.
0

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.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
08/09/2020

New Constructions of MDS Twisted Reed-Solomon Codes and LCD MDS Codes

Maximum distance separable (MDS) codes are optimal where the minimum dis...
research
03/26/2019

Constructions of MDS convolutional codes using superregular matrices

Maximum distance separable convolutional codes are the codes that presen...
research
01/17/2023

A Note on the Simplex-Tree Construction of the Vietoris-Rips Complex

We give an alternative presentation of the Simplex Tree construction of ...
research
05/29/2020

A Note on Generic Tangle Algorithms

In this note we gather the theoretical outlines of three basic algorithm...
research
04/29/2021

Constructions in combinatorics via neural networks

We demonstrate how by using a reinforcement learning algorithm, the deep...
research
02/14/2020

Constructions of quantum MDS codes

Let F_q be a finite field with q=p^e elements, where p is a prime number...
research
10/22/2022

Structure-Unified M-Tree Coding Solver for MathWord Problem

As one of the challenging NLP tasks, designing math word problem (MWP) s...

Please sign up or login with your details

Forgot password? Click here to reset