Toric Codes from Order Polytopes

02/06/2021
by   Mahir Bilen Can, et al.
0

In this article we investigate a class of linear error correcting codes in relation with the order polytopes. In particular we consider the order polytopes of tree posets and bipartite posets. We calculate the parameters of the associated toric variety codes.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
05/09/2023

On the Number of t-Lee-Error-Correcting Codes

We consider t-Lee-error-correcting codes of length n over the residue ri...
research
03/08/2023

Error Correcting Codes From General Linear Groups

The parameters of the AG codes on general linear groups are found. The h...
research
08/20/2018

Toric Varieties and Codes, Error-correcting Codes, Quantum Codes, Secret Sharing and Decoding

We present toric varieties and associated toric codes and their decoding...
research
11/27/2018

Maximizing Multivariate Information with Error-Correcting Codes

Multivariate mutual information provides a conceptual framework for char...
research
03/16/2023

Linear Codes from Simplicial Complexes over 𝔽_2^n

In this article we mainly study linear codes over 𝔽_2^n and their binary...
research
04/24/2018

The set of dimensions for which there are no linear perfect 2-error-correcting Lee codes has positive density

The Golomb-Welch conjecture states that there are no perfect e-error-cor...
research
02/04/2021

Minimizing the alphabet size in codes with restricted error sets

This paper focuses on error-correcting codes that can handle a predefine...

Please sign up or login with your details

Forgot password? Click here to reset