Abstract
In this work, Gray images of formally self-dual codes over the ring S4 = F2[u]/〈u4〉 and some of their construction methods are considered. As a result, a considerable number of good formally self-dual binary codes with large automorphism groups have been obtained from the Gray images of formally self-dual codes over S4.
Original language | English (US) |
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Pages (from-to) | 300-308 |
Number of pages | 9 |
Journal | Turkish World Mathematical Society Journal of Applied and Engineering Mathematics |
Volume | 13 |
Issue number | 1 |
State | Published - 2023 |
Keywords
- Double-circulant construction
- Finite chain rings
- Formally self-dual codes
- Lee weight
ASJC Scopus subject areas
- Statistics and Probability
- Numerical Analysis
- Mathematical Physics
- Discrete Mathematics and Combinatorics
- Control and Optimization
- Computational Mathematics
- Applied Mathematics