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cs.IT updates on arXiv.org

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Elementary Constructions of Best Known Quantum Codes
Nuh Aydin, Trang T. T. Nguyen, Long B. Tran · 2024-10-16 · via cs.IT updates on arXiv.org

Recently, many good quantum codes over various finite fields $F_q$ have been constructed from codes over extension rings or mixed alphabet rings via some version of a Gray map. We show that most of these codes can be obtained more directly from cyclic codes or their generalizations over $F_q$. Unless explicit benefits are demonstrated for the indirect approach, we believe that direct and more elementary methods should be preferred.