3-designs from the \(\mathbb Z_4\)-Goethals codes via a new Kloosterman sum identity (Q1395764)
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: 3-designs from the \(\mathbb Z_4\)-Goethals codes via a new Kloosterman sum identity |
scientific article; zbMATH DE number 1944957
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 3-designs from the \(\mathbb Z_4\)-Goethals codes via a new Kloosterman sum identity |
scientific article; zbMATH DE number 1944957 |
Statements
3-designs from the \(\mathbb Z_4\)-Goethals codes via a new Kloosterman sum identity (English)
0 references
1 July 2003
0 references
Words of Hamming weight 7 in the quaternary Goethals code are shown to hold 3-designs. A new identity for Kloosterman sums is derived in the process.
0 references
Galois rings
0 references
quaternary Goethals code
0 references
3-designs
0 references
Kloosterman sums
0 references
