We prove that the cyclic and constacyclic codes constructed by Grassl and R\"otteler in \cite{GR2015} are generalised Reed-Solomon codes. This note can be considered as an addendum to Grassl and R\"otteler \cite{GR2015}. It can also be considered as an appendix to Ball and Vilar \cite{BV2021}, where Conjecture 11 of \cite{GR2015}, which was stated for Grassl-R\"otteler codes, is proven for generalised Reed-Solomon codes. The content of this note, together with \cite{BV2021}, therefore implies that Conjecture 11 from \cite{GR2015} is true.
翻译：我们证明Grassl和R\“Ottleer”在\cite{GR2015}中构建的周期和周期代码已被普遍化 Reed-Solomon 代码。 该注释可以被视为 Grassl和R\“Ottler\cite{GR2015}的增编。 它也可以被视为Ball 和 Vilar 和 Vilar 的附录。 在Ball 和 Vilar\cite{BV2021}中, Grassl-R\“Ottleer ”代码中描述的11 的参数被证明是通用的 Reed-Solomon 代码。 因此,该注释的内容与\cite{BV2021} 一起,意味着来自\cite{GR2015}的11 项是真实的。
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