Gilbert-Varshamov type bounds for linear codes over finite chain rings

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1.
Department of Mathematics, Middle East Technical University, Ínönü Bulvarı, 06531, Ankara
2.
CNRS, I3S, ESSI, BP 145, Route des Colles, 06 903 Sophia Antipolis

Received: May 31, 2006

Revised: July 31, 2006

Published: January 2007

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Abstract

We obtain finite and asymptotic Gilbert-Varshamov type bounds for linear codes over finite chain rings with various weights.

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Mathematics Subject Classification: Primary: 94B65, 94B60; Secondary: 16P10.

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