Applications of coding theory to the construction of modular lattices (Q1356021)
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: Applications of coding theory to the construction of modular lattices |
scientific article; zbMATH DE number 1016774
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Applications of coding theory to the construction of modular lattices |
scientific article; zbMATH DE number 1016774 |
Statements
Applications of coding theory to the construction of modular lattices (English)
0 references
23 November 1997
0 references
The author studies codes obtained by starting with a maximal order \(D\) in \(K\) which is either an imaginary quadratic field, or a quaternion field with center \(Q\) ramified at infinity and taking a left submodule in \((d/pD)^n\). She obtains general bounds for these codes and constructs some extremal self-dual codes.
0 references
quaternion algebra
0 references
extremal lattice
0 references
MacWilliams identity
0 references
self-dual codes
0 references
0 references
