论文标题

新EAQECC的特殊打字线性代码和构造的船体

Hulls of special typed linear codes and constructions of new EAQECCs

论文作者

Sok, Lin

论文摘要

在本文中,我们研究了广义的芦苇 - 固体代码和扭曲的广义芦苇 - 固体代码以及Roth-Lempel键入代码的Hermitian Hulls的欧几里得和遗传学船体。我们介绍了MDS和AMDS线性代码的明确结构,其船体尺寸得到了很好的确定。作为一个应用程序,我们提供了几类使用新参数的纠缠量子错误纠正代码。

In this paper, we study Euclidean and Hermitian hulls of generalized Reed-Solomon codes and twisted generalized Reed-Solomon codes, as well as the Hermitian hulls of Roth-Lempel typed codes. We present explicit constructions of MDS and AMDS linear codes for which their hull dimensions are well determined. As an application, we provide several classes of entanglement-assisted quantum error correcting codes with new parameters.

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