论文标题
最佳三元线性互补双重代码
Optimal Ternary Linear Complementary Dual Codes
论文作者
论文摘要
Massey引入的线性互补双（LCD）代码是其与双重代码相交的代码。它可以帮助提高敏感设备处理的信息的安全性，尤其是针对侧通道攻击（SCA）和故障侵入性攻击。在本文中，通过构建穿刺，扩展，缩短和组合代码，提供了许多良好的三元LCD代码。我们给出一个表1，值为$ d_ {lcd}（n，k）$的值，$ n \ leq 20 $。此外，本文中给出的许多三元LCD代码都是最佳的，它们在\ cite {grassl}中可饱和GRASSL的下层或上限，其中一些几乎是最佳的。
Linear complementary dual (LCD) codes introduced by Massey are the codes whose intersections with their dual codes are trivial. It can help to improve the security of the information processed by sensitive devices, especially against side-channel attacks (SCA) and fault invasive attacks. In this paper, By construction of puncturing, extending, shortening and combination codes, many good ternary LCD codes are presented. We give a Table 1 with the values of $d_{LCD}(n,k)$ for length $ n \leq 20$. In addition, Many of these ternary 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.
