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Section A

The decodability and correctability of codes

, &
Pages 1456-1468 | Received 15 Apr 2008, Accepted 24 Jul 2008, Published online: 11 Jun 2009
 

Abstract

Given a noisy communication channel γ, the aim of this paper is to investigate γ-decodable codes and γ-correctable codes. Examples are given for channels with possible errors caused by deletions. The γ-correctability does not imply γ-decodability but ensures error recovery. In general, the properties of γ-correctability and γ-decodability have little in common. Some general properties concerning γ-decodable codes and γ-correctable codes are derived. Moreover, we propose a special kind of codes called γ-separable codes having a unique decodability.

AMS Subject Classification :

Acknowledgements

The author would like to thank the referees for their careful reading of the manuscript and valuable suggestions. This work was supported by the National Science Council R.O.C. under Grant NSC 94-2115-M-005-007.

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