Generalized weighing matrices and self-orthogonal codes

Authors

Vladimir Tonchev, Michigan Technological UniversityFollow

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.

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

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