3-designs from the \(\mathbb Z_4\)-Goethals codes via a new Kloosterman sum identity (Q1395764): Difference between revisions
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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)
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1 July 2003
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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.
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Galois rings
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quaternary Goethals code
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3-designs
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Kloosterman sums
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