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New extremal binary self-dual codes of length 68 from generalized neighbors.
- Source :
-
Finite Fields & Their Applications . Oct2020, Vol. 67, pN.PAG-N.PAG. 1p. - Publication Year :
- 2020
-
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 γ = 8 in their W 68 , 2 and 40 with γ = 9 in their W 68 , 2. These examples are the first in the literature for these γ values. This completes the theoretical list of possible values for γ in W 68 , 2. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BINARY codes
*NEIGHBORS
Subjects
Details
- Language :
- English
- ISSN :
- 10715797
- Volume :
- 67
- Database :
- Academic Search Index
- Journal :
- Finite Fields & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 145499577
- Full Text :
- https://doi.org/10.1016/j.ffa.2020.101727