A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing
A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing
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DOI：
10.1109/tit.2015.2473861
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发表时间：
2015-03
影响因子：
2.5
通讯作者：
Kelan Ding;C. Ding
中科院分区：
文献类型：
--
作者：
Kelan Ding;C. Ding
本文构造了GF（p）上的一类二权和三权线性码，并研究了它们在秘密共享中的应用。得到的线性码中的一些是最优的，在这个意义上，他们满足一定的线性码的界限。这些码除了在消费电子、通信和数据存储系统中的应用之外，还在认证码、关联方案和强正则图中有应用。
In this paper, a class of two-weight and three-weight linear codes over GF(p) is constructed, and their application in secret sharing is investigated. Some of the linear codes obtained are optimal in the sense that they meet certain bounds on linear codes. These codes have applications also in authentication codes, association schemes, and strongly regular graphs, in addition to their applications in consumer electronics, communication and data storage systems.