Abstract
Minimum distance is not always the most determinant factor to acheive high performance for error correction. Of course the knowledge of the whole weight distribution of the code is more accurate than the knowledge of the mere minimum distance, and the phenomenon amplifies for a high noise level. Besides this fact, the use of error-correcting codes in practical situations requires a trade-off between the algorithmic complexity and the performance of the decoding procedure. We show here that for low rates a very good trade-off is possible using product codes, although they are known for their poor minimum distance.
Preview
Unable to display preview. Download preview PDF.
References
P. Elias. Error-free coding. IEEE Transaction on Information Theory, 4:29–37, 1954.
S.M. Reddy and J.P. Robinson. Random error and burst correction by iterated codes. IEEE Transaction on Information Theory, 18(1):182–185, January 1972.
N. Sendrier. Product of linear codes. Rapport de Recherche 1286, INRIA, October 1990.
N. Sendrier. Codes Correcteurs d'Erreurs à Haut Pouvoir de Correction. Thèse de doctorat, Université Paris 6, December 1991.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1994 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sendrier, N. (1994). Product codes and the singleton bound. In: Cohen, G., Litsyn, S., Lobstein, A., Zémor, G. (eds) Algebraic Coding. Algebraic Coding 1993. Lecture Notes in Computer Science, vol 781. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57843-9_31
Download citation
DOI: https://doi.org/10.1007/3-540-57843-9_31
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-57843-7
Online ISBN: 978-3-540-48357-1
eBook Packages: Springer Book Archive