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Recolector de Ciencia Abierta, RECOLECTA
Master thesis . 2020
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Recolector de Ciencia Abierta, RECOLECTA
Master thesis . 2020
Data sources: Recolector de Ciencia Abierta, RECOLECTA
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
UPCommons. Portal del coneixement obert de la UPC
Master thesis . 2020
Data sources: UPCommons. Portal del coneixement obert de la UPC
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Additive MDS Codes

descriptionPublicationkeyboard_double_arrow_right Master thesis 01 Jan 2020 Spain English Publisher:Universitat Politècnica de Catalunya
Authors: Gamboa Quintero, Guillermo Andres;

handle: 2117/332723

Additive MDS Codes

Abstract

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 F4 in the latter case. Finally, we explore the connection between additive codes and quantum error-correcting codes.

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Spain
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Keywords

Error-correcting codes (Information theory), Àrees temàtiques de la UPC::Matemàtiques i estadística, Additive Codes, Codis de correcció d'errors (Teoria de la informació), Partial Spread, MDS Conjecture, :94 Information And Communication, Circuits::94B Theory of error-correcting codes and error-detecting codes [Classificació AMS], Classificació AMS::94 Information And Communication, :Matemàtiques i estadística [Àrees temàtiques de la UPC], Circuits::94B Theory of error-correcting codes and error-detecting codes, Desarguesian Spread, Field Reduction, Classificació AMS::94 Information And Communication, Circuits::94B Theory of error-correcting codes and error-detecting codes, Stabilizer Codes

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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