Please use this identifier to cite or link to this item: https://doi.org/10.1109/18.825811
Title: Split group codes
Authors: Ding, C. 
Kohel, D.R.
Ling, S. 
Keywords: Duadic codes
Quadratic residue codes
Split group codes
Issue Date: 2000
Citation: Ding, C., Kohel, D.R., Ling, S. (2000). Split group codes. IEEE Transactions on Information Theory 46 (2) : 485-495. ScholarBank@NUS Repository. https://doi.org/10.1109/18.825811
Abstract: We construct a class of codes of length n such that the minimum distance d outside of a certain subcode is, up to a constant factor, bounded below by the square root of n, a well-known property of quadratic residue codes. The construction, using the group algebra of an Abelian group and a special partition or splitting of the group, yields quadratic residue codes, duadic codes, and their generalizations as special cases. We show that most of the special properties of these codes have analogues for split group codes, and present examples of new classes of codes obtained by this construction. © 2000 IEEE.
Source Title: IEEE Transactions on Information Theory
URI: http://scholarbank.nus.edu.sg/handle/10635/43019
ISSN: 00189448
DOI: 10.1109/18.825811
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