In this master thesis, we present examples of additive nonlinear MDS codes over nonprime fields. Moreover, we prove the MDS conjecture for additive nonlinear codes for the alphabets F9 and F16, preserving linearity over ...

Let $P$ be a set of $n$ points in the projective space of dimension $d$ with the property that not all the points are contained in an hyperplane and any $d$ points span an hyperplane. Let an ordinary hyperplane of $P$ be ...

This document contains a study of the demand of the ticket sales for each fare within American Airlines for one of their routes, Barcelona to Miami. The project is an approach to the studies carried out by the airlines but ...

Let $S$ be a set of $n$ points in the projective $d$-dimensional real space $\mathbb{RP}^d$ such that not all points of $S$ are contained in a single hyperplane and such that any subset of $d$ points of $S$ span a hyperplane. ...

When discussing equivalent codes, the literature tends to define equivalence differently for linear or nonlinear codes. For non-linear codes, one normally defines equivalence based on a permutation of coordinates and ...

The aim of this project is to bring together quantum error-correcting codes theory and the study of finite geometries. A quantum code is used to protect quantum information from errors that may occur due to quantum ...