3-designs from the \(\mathbb Z_4\)-Goethals codes via a new Kloosterman sum identity (Q1395764): Difference between revisions

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3-designs from the \(\mathbb Z_4\)-Goethals codes via a new Kloosterman sum identity
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    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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