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New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction.
- Source :
-
Finite Fields & Their Applications . Oct2021, Vol. 75, pN.PAG-N.PAG. 1p. - Publication Year :
- 2021
-
Abstract
- In this work, we give a new technique for constructing self-dual codes over commutative Frobenius rings using λ -circulant matrices. The new construction was derived as a modification of the well-known four circulant construction of self-dual codes. Applying this technique together with the building-up construction, we construct singly-even binary self-dual codes of lengths 56, 58, 64, 80 and 92 that were not known in the literature before. Singly-even self-dual codes of length 80 with β ∈ { 2 , 4 , 5 , 6 , 8 } in their weight enumerators are constructed for the first time in the literature. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BINARY codes
*COMMUTATIVE rings
*MATRICES (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 10715797
- Volume :
- 75
- Database :
- Academic Search Index
- Journal :
- Finite Fields & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 151980800
- Full Text :
- https://doi.org/10.1016/j.ffa.2021.101876