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.
Sapna Jain and Ki-Suk Lee
University of Delhi and Korea National University of Education
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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