February  2007, 1(1): 99-109. doi: 10.3934/amc.2007.1.99

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

1. 

Department of Mathematics, Middle East Technical University, Ínönü Bulvarı, 06531, Ankara, Turkey

2. 

CNRS, I3S, ESSI, BP 145, Route des Colles, 06 903 Sophia Antipolis

Received  June 2006 Revised  August 2006 Published  January 2007

We obtain finite and asymptotic Gilbert-Varshamov type bounds for linear codes over finite chain rings with various weights.
Citation: Ferruh Özbudak, Patrick Solé. Gilbert-Varshamov type bounds for linear codes over finite chain rings. Advances in Mathematics of Communications, 2007, 1 (1) : 99-109. doi: 10.3934/amc.2007.1.99
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