Algebraic geometric codes with applications
type: Item
instance of: scholarly article
title: Algebraic geometric codes with applications
zbMATH Open document ID: 1197.94227
author: Hao Chen
published in: Frontiers of Mathematics in China
publication date: 2010-09-22T00:00:00Z
review text: This is a short survey article on error-correcting algebraic geometric codes and some of their applications. After describing the construction of algebraic geometric codes, the author shows briefly their applications to (i) quantum error-correcting codes via the Calderbank-Shor-Steane Theorem; the secret sharing schemes via the Cramer method; and (ii) the construction of binary codes -linear or not- with good parameters, via the Leung-Ling-Xing Theorem.
reviewed by: Carlos Munuera
Mathematics Subject Classification ID: 94B27
Mathematics Subject Classification ID: 94A60
Mathematics Subject Classification ID: 81P94
zbMATH DE Number: 5790123
zbMATH Keywords: algebraic geometric (AG) code
zbMATH Keywords: algebraic curve
zbMATH Keywords: quantum error-correcting codes
zbMATH Keywords: multi-party computation
MaRDI profile type: Publication
full work available at URL: s11464-007-0001-x
OpenAlex ID: W1540298822
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DOI: 10.1007/S11464-007-0001-X
description: scientific article; zbMATH DE number 5790123