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arXiv · 2312.12288

New Qutrit Codes from Pure and Bordered Multidimensional Circulant Construction

Padmapani Seneviratne·Hannah Cuff·Alexandra Koletsos·Kerry Seekamp·Adrian Thananopavarn
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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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Padmapani Seneviratne, Hannah Cuff, Alexandra Koletsos, Kerry Seekamp, Adrian Thananopavarn. 2023-12-19. New Qutrit Codes from Pure and Bordered Multidimensional Circulant Construction. https://arxiv.org/abs/2312.12288

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