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.
翻译:我们采用多维循环方法,通过$\F_9$上的辛自对偶加性码构造了参数$(\ell, d) \in \{(51, 16), (52, 16), (54, 17), (55, 17), (57, 17)\}$的新型qutrit稳定子$\dsb{\ell, 0, d}$码。除这五种新型码外,我们进一步利用有边构造导出了参数$(\ell, d) \in \{(53, 16), (56, 17)\}$的另外两种qutrit码,该结果改进了此前最优参数记录。