Order functions and evaluation codes.

Tom Høholdt; Ruud Pellikaan; Jack van Lint

Order functions and evaluation codes.

Tom Høholdt
, Ruud Pellikaan
, Jack van Lint

Eindhoven University of Technology

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

Based on the notion of an order function we construct and determine the parameters of a class of error-correcting evaluation codes. This class includes the one-point algebraic geometry codes as wella s the generalized Reed-Muller codes and the parameters are detremined without using the heavy machinery of algebraic geometry.

Original language	English
Title of host publication	Lecture notes in Computer Science vol.1255
Place of Publication	Berlin
Publisher	Springer
Publication date	1997
Pages	138-150
Publication status	Published - 1997
Event	Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - Toulouse, France Duration: 1 Jan 1997 → …

Conference

Conference	Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
City	Toulouse, France
Period	01/01/1997 → …

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Cite this

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title = "Order functions and evaluation codes.",

abstract = "Based on the notion of an order function we construct and determine the parameters of a class of error-correcting evaluation codes. This class includes the one-point algebraic geometry codes as wella s the generalized Reed-Muller codes and the parameters are detremined without using the heavy machinery of algebraic geometry.",

author = "Tom H{\o}holdt and Ruud Pellikaan and \{van Lint\}, Jack",

year = "1997",

language = "English",

pages = "138--150",

booktitle = "Lecture notes in Computer Science vol.1255",

publisher = "Springer",

note = "Applied Algebra, Algebraic Algorithms and Error-Correcting Codes ; Conference date: 01-01-1997",

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TY - GEN

T1 - Order functions and evaluation codes.

AU - Høholdt, Tom

AU - Pellikaan, Ruud

AU - van Lint, Jack

PY - 1997

Y1 - 1997

N2 - Based on the notion of an order function we construct and determine the parameters of a class of error-correcting evaluation codes. This class includes the one-point algebraic geometry codes as wella s the generalized Reed-Muller codes and the parameters are detremined without using the heavy machinery of algebraic geometry.

AB - Based on the notion of an order function we construct and determine the parameters of a class of error-correcting evaluation codes. This class includes the one-point algebraic geometry codes as wella s the generalized Reed-Muller codes and the parameters are detremined without using the heavy machinery of algebraic geometry.

M3 - Article in proceedings

SP - 138

EP - 150

BT - Lecture notes in Computer Science vol.1255

PB - Springer

CY - Berlin

T2 - Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Y2 - 1 January 1997

ER -