论文标题
线性套件产生的重量很少的代码
Codes with few weights arising from linear sets
论文作者
论文摘要
在本文中，我们介绍了一类代码，其权重很少，而特殊类型的线性集合产生。我们明确显示了此类代码的权重，它们的权重枚举以及其发电机矩阵的可能选择。特别是，我们的构造也屈服于具有三个权重的线性代码，在某些情况下，几乎是MDS代码。这些代码的兴趣依赖于其应用程序对身份验证代码和秘密方案的应用，以及它们与关联方案和图形等其他对象的联系。
In this article we present a class of codes with few weights arising from special type of linear sets. We explicitly show the weights of such codes, their weight enumerator and possible choices for their generator matrices. In particular, our construction yields also to linear codes with three weights and, in some cases, to almost MDS codes. The interest for these codes relies on their applications to authentication codes and secret schemes, and their connections with further objects such as association schemes and graphs.
