Now showing items 1-13 of 13

• #### Additive MDS Codes ﻿

(Universitat Politècnica de Catalunya, 2020-10)
Master thesis
Restricted access - author's decision
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 ...
• #### Arcs, linear sets and hermitian curves in the finite projective plane ﻿

(Universitat Politècnica de Catalunya, 2018-09)
Bachelor thesis
Open Access
The main object of the study of this thesis are arcs in PG(2,q2). An arc in PG(2,q2) is set of points with the property that every line intersects with the arc in at most 2 points. One can prove that an arc in PG(2,q2) has ...
• #### Construcción de códigos lineal simétricos ﻿

(Universitat Politècnica de Catalunya, 2009-07-09)
Bachelor thesis
Open Access
• #### Códigos convolucionales con propiedades predicibles correctoras de errores ﻿

(Universitat Politècnica de Catalunya, 2010-01-27)
Bachelor thesis
Open Access
• #### Generalisation of Sylvester's problem ﻿

(Universitat Politècnica de Catalunya, 2015-09)
Bachelor thesis
Open Access
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 ...
• #### Low density parity check codes ﻿

(Universitat Politècnica de Catalunya, 2021-07)
Master thesis
Open Access
Low Density Parity Check codes, LDPCs for short, are a family of codes which have shown near optimal error-correcting capabilites. They were proposed in 1963 by Robert Gallager in his PhD thesis. While he proved that ...
• #### Mathematical analysis and simulation of tax and fare trends on airline routes ﻿

(Universitat Politècnica de Catalunya, 2015-09-14)
Bachelor thesis
Restricted access - author's decision
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 ...
• #### Maximum distance separable codes ﻿

(Universitat Politècnica de Catalunya, 2014-10)
Bachelor thesis
Open Access
The focus of this bachelor thesis are maximum distance separable codes. A code is used to communicate over noise channel so any interferences that may occur can be detected and corrected. Maximum distance separable codes ...
• #### On sets of points with few ordinary hyperplanes ﻿

(Universitat Politècnica de Catalunya, 2018-07)
Master thesis
Open Access
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. ...
• #### Quantum low density parity check codes ﻿

(Universitat Politècnica de Catalunya, 2022-07)
Master thesis
Open Access
Low density Parity Check (LDPC) Codes are asymptotically good codes with a fast decoding algorithm, and hence have extensive applications. A lot of work has been done on constructing a quantum code with LDPC properties. ...
• #### The equivalence of codes ﻿

(Universitat Politècnica de Catalunya, 2021-07)
Master thesis
Open Access
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 geometry of quantum codes ﻿

(Universitat Politècnica de Catalunya, 2021-07)
Master thesis
Open Access
Quantum particles are continuously interacting with the environment hence quantum information is always susceptible to errors. Consequently when encoding information into quantum bits a special treatment is required such ...
• #### The geometry of quantum stabiliser codes ﻿

(Universitat Politècnica de Catalunya, 2020-05)
Bachelor thesis
Open Access
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 ...