The main conjecture on geometric MDS codes from hyperelliptic curves (Q1335335)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The main conjecture on geometric MDS codes from hyperelliptic curves |
scientific article; zbMATH DE number 646692
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The main conjecture on geometric MDS codes from hyperelliptic curves |
scientific article; zbMATH DE number 646692 |
Statements
The main conjecture on geometric MDS codes from hyperelliptic curves (English)
0 references
1 November 1994
0 references
The author considers geometric Goppa codes which are obtained from non- singular hyperelliptic curves \(X\) defined over a finite field of cardinality \(q\) of genus \(g\geq 3\). He proves that among these codes there are no MDS codes of length \(n> q+1\) of genus \(g(X)<\) upper bound depending only on \(q\). The proof extends methods used in [\textit{C. Munuera}, On the main conjecture on geometric MDS codes, IEEE Trans. Inform. Th. 38, 1573-1577 (1992; Zbl 0756.94012)].
0 references
geometric Goppa codes
0 references
non-singular hyperelliptic curves
0 references
MDS codes
0 references
0.9118820428848268
0 references
0.9117137789726256
0 references
