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COMPLEX WEIGHING MATRICES AND QUATERNARY CODES

Egan, Ronan orcid logoORCID: 0000-0001-6010-116X, Solé, Patrick orcid logoORCID: 0000-0002-4078-8301, Shi, Minjia orcid logoORCID: 0000-0002-4990-6271 and Lu, Danni orcid logoORCID: 0009-0002-6619-7283 (2025) COMPLEX WEIGHING MATRICES AND QUATERNARY CODES. BULLETIN of the Australian Mathematical Society, 112 (1). pp. 14-22. ISSN 1755-1633

Abstract
Weighing matrices with entries in the complex cubic and sextic roots of unity are employed to construct Hermitian self-dual codes and Hermitian linear complementary dual codes over the finite field The parameters of these codes are explored for small matrix orders and weights.
Metadata
Item Type:Article (Published)
Refereed:Yes
Uncontrolled Keywords:weighing matrices; quaternary codes; Hermitian self-dual codes; LCD codes
Subjects:Mathematics
Mathematics > Algebra
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Science and Health > School of Mathematical Sciences
Publisher:Cambridge University Press
Official URL:https://www.cambridge.org/core/journals/bulletin-o...
Copyright Information:Authors
ID Code:33509
Deposited On:23 Sep 2026 13:30 by Eimear Maher . Last Modified 23 Sep 2026 13:30
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