In this work the construction of LRC codes given in [6] is completed, in the case of even characteristic. A general construction is presented, that enables us to obtain linear LRC codes of large length $n \approx q^4$, dimension and distance of order $q^4$, and locality $r =q-1$. In addition, the cases $q = 4$ and $q=8$ are studied.

翻译：本文完成了在偶特征情形下文献[6]中给出的LRC码构造。提出了一种通用构造方法，使我们能够获得长度$n \approx q^4$、维数与距离均为$q^4$量级、局部性$r = q-1$的线性LRC码。此外，还研究了$q=4$和$q=8$的情形。