New binary self-dual codes of lengths 80, 84 and 96 from composite matrices
Abstract
In this work, we apply the idea of composite matrices arising from group rings to derive a number of different techniques for constructing self-dual codes over finite commutative Frobenius rings. By applying these techniques over different alphabets, we construct best known singly-even binary self-dual codes of lengths 80, 84 and 96 as well as doubly-even binary self-dual codes of length 96 that were not known in the literature before.Citation
Gildea, J., Korban, A., & Roberts, A. M. (2022). New binary self-dual codes of lengths 80, 84 and 96 from composite matrices. Designs, Codes and Cryptography, 90, 317–342. https://doi.org/10.1007/s10623-021-00976-3Publisher
SpringerJournal
Designs, Codes and CryptographyAdditional Links
https://link.springer.com/article/10.1007/s10623-021-00976-3Type
ArticleDescription
The version of record of this article, first published in [Designs, Codes and Cryptography], is available online at Publisher’s website: http://dx.doi.org/10.1007/s10623-021-00976-3ISSN
0925-1022EISSN
1573-7586Sponsors
UnfundedScopus Count
Collections
Except where otherwise noted, this item's license is described as https://creativecommons.org/licenses/by/4.0/