量子广义Reed-Solomon码：量子MDS码的统一框架
Quantum generalized Reed-Solomon codes: Unified framework for quantum MDS codes
摘要：
从经典的广义Reed-Solomon码出发，构造了一类新的量子MDS码，并给出了这类量子码存在的充要条件.我们还给出了代码界限，并展示了如何构建它们的分析。我们发现，现有的量子MDS码可以统一在这些代码的意义上，当一个量子MDS码存在，那么这种类型的量子码具有相同的参数也存在。因此，就目前所知，它们是最重要的量子MDS码族。
英文摘要：
We construct a new family of quantum MDS codes from classical generalized Reed-Solomon codes and derive the necessary and sufficient condition under which these quantum codes exist. We also give code bounds and show how to construct them analytically. We find that existing quantum MDS codes can be unified under these codes in the sense that when a quantum MDS code exists, then a quantum code of this type with the same parameters also exists. Thus as far as is known at present, they are the most important family of quantum MDS codes.
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