Quadratic residue codes over $p$-adic integers and their projections to integers modulo $p^e$

Korean J. Math. Vol. 23 No. 1 (2015) pp.163-169
DOI: https://doi.org/10.11568/kjm.2015.23.1.163

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Published: Mar 30, 2015

Keywords:

quadratic residue code, $p$-adic code, idempotent generator

Mathematics Subject Classification:

94B05

Young Ho Park

Department of Mathematics Kangwon National University Chuncheon 200-701, Korea

Abstract

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

This study was supported by 2013 Research Grant from Kangwon National University (No. C1009751-01-01)

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