Codes Over the p-adic Integers

Authors:
Steven T. Dougherty;Young Ho Park
Affiliations:
Department of Mathematics, University of Scranton, Scranton, USA 18510;Department of Mathematics, University of Scranton, Scranton, USA 18510
Venue:
Designs, Codes and Cryptography
Year:
2006

Citing 4
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Abstract

We study codes over the p-adic integers and correct errors in the existing literature. We show that MDS codes exist over the p-adics for all lengths, ranks and p. We show that self-dual codes exist over the 2-adics if and only if the length is a multiple of 8 and that self-dual codes exist over the p-adics with p odd if and only if the length is 0 (mod 4) for p 驴 3 (mod 4) and 0 (mod 2) for p 驴 1 (mod 4).