On the dimension of algebraic-geometric trace codes
type: Item
instance of: scholarly article
title: On the dimension of algebraic-geometric trace codes
zbMATH Open document ID: 1358.11133
author: Phong Le
author: Sunil Chetty
published in: Mathematics
publication date: 2017-03-16T00:00:00Z
review text: Summary: We study trace codes induced from codes defined by an algebraic curve \(X\). We determine conditions on \(X\) which admit a formula for the dimension of such a trace code. Central to our work are several dimension reducing methods for the underlying functions spaces associated to \(X\).
Mathematics Subject Classification ID: 11T71
zbMATH DE Number: 6695445
zbMATH Keywords: error correcting codes
zbMATH Keywords: trace codes
zbMATH Keywords: exponential sums
zbMATH Keywords: number theory
MaRDI profile type: Publication
full work available at URL: math4020032
OpenAlex ID: W2345622344
cites work: Q3829474
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cites work: Q3999066
DOI: 10.3390/MATH4020032
description: scientific article; zbMATH DE number 6695445