论文标题
最佳的第四纪赫米尔氏液液晶代码
Optimal Quaternary Hermitian LCD codes
论文作者
论文摘要
线性互补双（LCD）代码是Massey引入的一类线性代码，最近在文献中进行了广泛的研究。已经表明，LCD代码可以帮助提高敏感设备处理的信息的安全性，尤其是针对所谓的侧通道攻击（SCA）和故障侵入性攻击。在本文中，列出了良好的第四纪Hermitian LCD代码的表格，并在构造，扩展，缩短，缩短和组合代码的构建中使用。结果介绍了包括表3的表3的表3，其中列出了任何长度的$ n \ leq 25 $，带有相应的尺寸$ k $。此外，本文中给出的这些第四纪遗传学LCD代码中的许多是最佳的，它们在\ cite {Grassl}中饱和GRASSL的下层或上限，其中一些几乎是最佳的。
Linear complementary dual (LCD) codes, which is a class of linear codes introduced by Massey, have been extensively studied in literature recently. It has been shown that LCD codes can help to improve the security of the information processed by sensitive devices, especially against so-called side-channel attacks (SCA) and fault invasive attacks. In this paper, Tables are presented of good quaternary Hermitian LCD codes and there are used in the construction of puncturing, extending, shortening and combination codes. Results including tables 3 of the best-known quaternary Hermitian LCD codes of any length $ n \leq 25$ with corresponding dimension $k$ are presented. In addition, Many of these quaternary Hermitian LCD codes given in this paper are optimal which are saturating the lower or upper bound of Grassl's codetable in \cite{Grassl} and some of them are nearly optimal.
