Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2009; 46(5): 967-977

Printed September 1, 2009

https://doi.org/10.4134/JKMS.2009.46.5.967

Copyright © The Korean Mathematical Society.

An upper bound on the number of parity checks for burst error detection and correction in Euclidean codes

Sapna Jain and Ki-Suk Lee

University of Delhi and Korea National University of Education

Abstract

There are three standard weight functions on a linear code viz. Hamming weight, Lee weight, and Euclidean weight. Euclidean weight function is useful in connection with the lattice constructions [2] where the minimum norm of vectors in the lattice is related to the minimum Euclidean weight of the code. In this paper, we obtain an upper bound over the number of parity check digits for Euclidean weight codes detecting and correcting burst errors.

Keywords: Euclidean weight, linear codes, minimum distance, burst errors

MSC numbers: 94B05

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