New Qutrit Codes from Pure and Bordered Multidimensional Circulant Construction
Abstract
We use multidimensional circulant approach to construct new qutrit stabilizer , 0, d codes with parameters (, d) ∈ \(51, 16), (52, 16), (54, 17), (55, 17), (57, 17)\ through symplectic self-dual additive codes over 9. In addition to these five new codes, we use bordered construction to derive two more qutrit codes with parameters (, d) ∈ \(53, 16), (56, 17)\ that improve upon previously best known parameters.
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