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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

Published Dec 19, 2023• 0 citations
arXivHTMLPDF

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.

DOI
10.48550/arxiv.2312.12288

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