Generalized weighing matrices and self-orthogonal codes
Document Type
Article
Publication Date
7-2009
Abstract
It is shown that the row spaces of certain generalized weighing matrices, Bhaskar Rao designs, and generalized Hadamard matrices over a finite field of order q are hermitian self-orthogonal codes. Certain matrices of minimum rank yield optimal codes. In the special case when q=4, the codes are linked to quantum error-correcting codes, including some codes with optimal parameters.
Publication Title
Discrete Mathematics
Recommended Citation
Tonchev, V.
(2009).
Generalized weighing matrices and self-orthogonal codes.
Discrete Mathematics,
309(14), 4697-4699.
http://doi.org/10.1016/j.disc.2008.05.036
Retrieved from: https://digitalcommons.mtu.edu/math-fp/105
Publisher's Statement
Copyright © 2009 Elsevier B.V. All rights reserved. Publisher’s version of record: https://doi.org/10.1016/j.disc.2008.05.036