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Perfect 1-error-correcting Hurwitz weight codes. (English) Zbl 1387.94114

Summary: Let \(\pi\) be a Hurwitz prime and \(p=\pi \pi^\star\). In this paper, we construct perfect 1-error-correcting codes in \(\mathcal{H}_{\pi}^n\) for every prime number \(p>3\), where \(\mathcal{H}\) denotes the set of Hurwitz integers.

MSC:

94B05 Linear codes (general theory)
94B60 Other types of codes
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References:

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