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Alternative Title
Abstract
In IEEE Trans. Inform. Theory 46 (2000), 280, using characters of an elementary Abelian 2-group, a class of q-ary codes, where q is an odd prime power, is constructed. These codes share several features in common with binary Reed-Muller codes. This construction is generalized in this paper to yield codes with features that resemble those of generalized Reed-Muller codes. © 2003 Elsevier Ltd. All rights reserved.
Keywords
Generalized Reed-Muller codes, Group character codes, Matrix-product codes, Vandermonde determinant
Source Title
European Journal of Combinatorics
Publisher
Series/Report No.
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Date
2004-05
DOI
10.1016/j.ejc.2003.06.002
Type
Article