By studying the properties of [Formula: see text]-cyclotomic cosets, the maximum designed distances of Hermitian dual-containing constacyclic Bose–Chaudhuri–Hocquenghem (BCH) codes with length [Formula: see text] are determined, where [Formula: see text] is an odd prime power and [Formula: see text] is an integer. Further, their dimensions are calculated precisely for the given designed distance. Consequently, via Hermitian Construction, many new quantum codes could be obtained from these codes, which are not covered in the literature.

中文翻译：

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长度为 n=2(qm+1) 的新量子恒常循环码

通过研究[公式：见正文]-分圆陪集的性质，确定了长度为[公式：见正文]的Hermitian双含恒环Bose-Chaudhuri-Hocquenghem（BCH）码的最大设计距离，其中[公式：见text] 是奇数次幂，[Formula: see text] 是整数。此外，它们的尺寸是针对给定的设计距离精确计算的。因此，通过厄米特构造，可以从这些代码中获得许多新的量子代码，这些代码没有在文献中涉及。