Linear complementary dual codes (shortly LCD codes) are codes whose intersections with their dual codes are trivial. These codes were first introduced by Massey in 1992. Nowadays, LCD codes are extensively studied in the literature and widely applied in data storage, cryptography, etc. In this paper, we prove some properties of binary LCD codes using their shortened and punctured codes. We also present some inequalities for the largest minimum weight \(d_{LCD}(n,k)\) of binary LCD [n, k] codes for given length n and dimension k. Furthermore, we give two tables with the values of \(d_{LCD}(n,k)\) for \(k\le 32\) and \(n\le 40\), and two tables with classification results.

线性互补双码（简称 LCD 码）是与双码的交集是微不足道的代码。这些代码是由 Massey 于 1992 年首次提出的。如今，LCD 代码在文献中得到了广泛的研究，并广泛应用于数据存储、密码学等领域。在本文中，我们使用其缩短和穿孔的代码证明了二进制 LCD 代码的一些性质。我们还给出了给定长度n和维度k的二进制 LCD [ n ,  k ] 代码的最大最小权重\(d_{LCD}(n,k)\)的一些不等式。此外，我们给出了两个表，其中\(d_{LCD}(n,k)\)对于\(k\le 32\)和\(n\le 40\), 和两个带有分类结果的表。