2023/12/19 by Seneviratne, Padmapani, Cuff, Hannah, Koletsos, Alexandra +2
#FOS: Computer and information sciences #Information Theory (cs.IT)
paper · doi:10.48550/arxiv.2312.12288
We use multidimensional circulant approach to construct new qutrit stabilizer \dsbℓ, 0, d codes with parameters (ℓ, d) ∈ \(51, 16), (52, 16), (54, 17), (55, 17), (57, 17)\ through symplectic self-dual additive codes over \F9. In addition to these five new codes, we use bordered construction to derive two more qutrit codes with parameters (ℓ, d) ∈ \(53, 16), (56, 17)\ that improve upon previously best known parameters.