Abstract
Let p be a prime integer and m and s be two positive integers. We compute dual codes and Hamming distances of negacyclic codes of length \(p^s\) over \({\mathbb {F}}_{p^m}+u{\mathbb {F}}_{p^m}\) with \(u^2=0\). This yields new quantum codes from negacyclic codes, which are neither self-dual nor dual-containing codes.
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Boudine, B., Laaouine, J. & Charkani, M.E. New quantum codes from negacyclic codes of length \(p^s\) over \({\mathbb {F}}_{p^m}+u{\mathbb {F}}_{p^m}\). Quantum Inf Process 22, 87 (2023). https://doi.org/10.1007/s11128-023-03836-2
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DOI: https://doi.org/10.1007/s11128-023-03836-2