New Extremal binary self-dual codes of length 68 from generalized neighbors
dc.contributor.author | Gildea, Joe | |
dc.contributor.author | Kaya, Abidin | |
dc.contributor.author | Korban, Adrian | |
dc.contributor.author | Yildiz, Bahattin | |
dc.date.accessioned | 2020-07-22T08:32:14Z | |
dc.date.available | 2020-07-22T08:32:14Z | |
dc.identifier | https://chesterrep.openrepository.com/bitstream/handle/10034/623555/New%20Extremal%20binary%20self-dual%20codes%20of%20length%2068%20from%20generalized%20neighbors.pdf?sequence=1 | |
dc.identifier.citation | Gildea, J., Abidin, K., Korban, A. & Yildiz, B. (2020). New Extremal binary self-dual codes of length 68 from generalized neighbors. Finite Fields and their Applications, 67, 101727. | en_US |
dc.identifier.doi | 10.1016/j.ffa.2020.101727 | |
dc.identifier.uri | http://hdl.handle.net/10034/623555 | |
dc.description.abstract | In this work, we use the concept of distance between self-dual codes, which generalizes the concept of a neighbor for self-dual codes. Using the $k$-neighbors, we are able to construct extremal binary self-dual codes of length 68 with new weight enumerators. We construct 143 extremal binary self-dual codes of length 68 with new weight enumerators including 42 codes with $\gamma=8$ in their $W_{68,2}$ and 40 with $\gamma=9$ in their $W_{68,2}$. These examples are the first in the literature for these $\gamma$ values. This completes the theoretical list of possible values for $\gamma$ in $W_{68,2}$. | en_US |
dc.publisher | Elsevier | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | en_US |
dc.subject | Extremal self-dual codes | en_US |
dc.subject | Neighbor | en_US |
dc.subject | Distance of self-dual codes | en_US |
dc.subject | Weight enumerator | en_US |
dc.title | New Extremal binary self-dual codes of length 68 from generalized neighbors | en_US |
dc.type | Article | en_US |
dc.contributor.department | University of Chester; Sampoerna University; Northern Arizona University | en_US |
dc.identifier.journal | Finite Fields and their Applications | en_US |
or.grant.openaccess | Yes | en_US |
rioxxterms.funder | unfunded | en_US |
rioxxterms.identifier.project | unfunded | en_US |
rioxxterms.version | AM | en_US |
rioxxterms.versionofrecord | https://doi.org/10.1016/j.ffa.2020.101727 | |
rioxxterms.licenseref.startdate | 2021-07-30 | |
rioxxterms.publicationdate | 2020-07-30 | |
dc.dateAccepted | 2020-07-12 | |
dc.date.deposited | 2020-07-22 | en_US |
dc.indentifier.issn | 1071-5797 | en_US |