Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours
Affiliation
Dundalk Institute of Technology; University of Chester; Ferenc Rákóczi II Transcarpathian Hungarian College of Higher EducationPublication Date
2022-04-01
Metadata
Show full item recordAbstract
In this work, we define a modification of a bordered construction for self-dual codes which utilises \lambda-circulant matrices. We provide the necessary conditions for the construction to produce self-dual codes over finite commutative Frobenius rings of characteristic 2. Using the modified construction together with the neighbour construction, we construct many binary self-dual codes of lengths 54, 68, 82 and 94 with weight enumerators that have previously not been known to exist.Citation
Gildea, J., Korban, A., Roberts, A. M., & Tylyshchak, A. (2024). Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours. Advances in Mathematics of Communications, 18(3), 738-75. https://doi.org/10.3934/amc.2022021Additional Links
https://www.aimsciences.org/article/doi/10.3934/amc.2022021Type
ArticleDescription
This article has been accepted for publication in a revised form in [Advances in Mathematics of Communications] [https://www.aimsciences.org//article/doi/10.3934/amc.2022021]. This version is free to download for private research and study only. Not for redistribution, re-sale or use in derivative worksISSN
1930-5346EISSN
1930-5338ae974a485f413a2113503eed53cd6c53
10.3934/amc.2022021
Scopus Count
Collections
Except where otherwise noted, this item's license is described as https://creativecommons.org/licenses/by-nc-nd/4.0/