Algebraic Geometry Codes from Order Domains

Olav Geil ()
Additional contact information
Olav Geil: Aalborg University, Department of Mathematical Sciences

A chapter in Gröbner Bases, Coding, and Cryptography, 2009, pp 121-141 from Springer

Abstract: Abstract In this tutorial we introduce order domains and study the related codes. Special attention is given to the one-point geometric Goppa codes. We show how Gröbner basis theory helps us constructing order domains as well as helps us dealing with the related codes.

Keywords: Weight Function; Numerical Semigroup; Order Function; Dual Code; Rational Place (search for similar items in EconPapers)
Date: 2009
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-93806-4_8

Ordering information: This item can be ordered from
http://www.springer.com/9783540938064

DOI: 10.1007/978-3-540-93806-4_8

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().