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New Qutrit Codes from Pure and Bordered Multidimensional Circulant Construction
Published 19 Dec 2023 in cs.IT and math.IT | (2312.12288v2)
Abstract: We use multidimensional circulant approach to construct new qutrit stabilizer $\dsb{\ell, 0, d}$ codes with parameters $(\ell, d) \in {(51, 16), (52, 16), (54, 17), (55, 17), (57, 17)}$ through symplectic self-dual additive codes over $\F_9$. In addition to these five new codes, we use bordered construction to derive two more qutrit codes with parameters $(\ell, d) \in {(53, 16), (56, 17)}$ that improve upon previously best known parameters.
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