Thumbnail Image
Publication

Quaternary Hermitian self-dual codes of lengths 26, 32, 36, 38 and 40 from modifications of well-known circulant constructions

Roberts, Adam
Advisors
Editors
Other Contributors
Affiliation
University of Chester
EPub Date
Publication Date
2022-12-22
Submitted Date
Collections
Mathematics
Show all metadata
Files
Thumbnail Image
Article - AAM
Adobe PDF, 445.83 KB
Other Titles
Abstract
In this work, we give three new techniques for constructing Hermitian self-dual codes over commutative Frobenius rings with a non-trivial involutory automorphism using λ-circulant matrices. The new constructions are derived as modifications of various well-known circulant constructions of self-dual codes. Applying these constructions together with the building-up construction, we construct many new best known quaternary Hermitian self-dual codes of lengths 26, 32, 36, 38 and 40.
Citation
Roberts, A. M. (2024). Quaternary Hermitian self-dual codes of lengths 26, 32, 36, 38 and 40 from modifications of well-known circulant constructions. Applicable Algebra in Engineering, Communication and Computing, 35, 833–858. https://doi.org/10.1007/s00200-022-00589-w
Publisher
Springer
Journal
Applicable Algebra in Engineering, Communication and Computing
Research Unit
URI
http://hdl.handle.net/10034/628963
DOI
10.1007/s00200-022-00589-w
PubMed ID
PubMed Central ID
Type
Article
Language
Description
This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00200-022-00589-w]
Series/Report no.
ISSN
0938-1279
EISSN
1432-0622
ISBN
ISMN
Gov't Doc
Test Link
Sponsors
Unfunded
Additional Links
https://link.springer.com/article/10.1007/s00200-022-00589-w