论文标题
第四纪冬宫液晶法规的构建
Construction of quaternary Hermitian LCD codes
论文作者
论文摘要
我们介绍了来自给定的Hermitian LCD $ [N,K] $代码的许多Hermitian LCD $ [N,K] $代码的一般结构。此外,我们在刺穿的代码和缩短第四纪赫米尔氏菌LCD代码的代码方面提供了一些结果。作为应用程序,我们改善了一些先前已知的下限,以$ 12 \ le n \ le 30 $的第四纪hermitian LCD法规的最小最小重量。
We introduce a general construction of many Hermitian LCD $[n, k]$ codes from a given Hermitian LCD $[n, k]$ code. Furthermore, we present some results on punctured codes and shortened codes of quaternary Hermitian LCD codes. As an application, we improve some of the previously known lower bounds on the largest minimum weights of quaternary Hermitian LCD codes of length $12 \le n \le 30$.