• Korean Journal of Mathematics
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• v.23 no.1
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• pp.163-169
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• 2015

We give idempotent generators for quadratic residue codes over p-adic integers and over the rings $\mathbb{Z}_{p^e}$.

• Bulletin of the Korean Mathematical Society
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• v.59 no.2
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• pp.265-276
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• 2022

In this paper, we introduce duadic codes over finite local rings and concentrate on quadratic residue codes. We study their properties and give the comprehensive method for the computing the unique idempotent generator of quadratic residue codes.