%0 Journal Article
%T Cartesian Product and Authentication Codes<br>笛卡尔积与认证码
%A Liu Jin-long Xu Zong-ze
%A <br>刘金龙
%A 许宗泽
%J 电子与信息学报
%D 2008
%I 
%X The relation between the Cartesian product and authentication codes is studied in this paper. A new idea to use the private keys to carry the information of the authentication symbols is presented, which is based on the character of Cartesian product’ structure. And the Cartesian product–based optimal authentication codes with equal cheating probabilities of all orders are constructed, which can be easily designed and can be applied well to engineering. In this paper, the secret authentication codes with equal cheating probabilities of all orders are also constructed which are founded on Cartesian product and Latin square. The two construction methods mentioned above need no pre-storing encoder matrix, so that a mass of storage is saved. At the same time, the two schemes can offer an enough security level expected.
%K Cartesian product
%K Optimal authentication codes
%K Latin square
%K Secret authentication codes<br>笛卡尔积
%K 最优认证码
%K 拉丁方
%K 安全认证码
%K 笛卡尔积
%K 认证码
%K Authentication
%K Codes
%K 安全性
%K 存储空间
%K 节约
%K 编码矩阵
%K 构造方案
%K 拉丁
%K 最优
%K 欺骗概率
%K 工程应用
%K 思想
%K 编码规则
%K 信息嵌入
%K 结构特点
%K 笛卡儿积
%K 关系
%K 研究
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=1319827C0C74AAE8D654BEA21B7F54D3&jid=EFC0377B03BD8D0EF4BBB548AC5F739A&aid=AD44651D143A39B3093ED99EE7AE796E&yid=67289AFF6305E306&vid=340AC2BF8E7AB4FD&iid=B31275AF3241DB2D&sid=9BBC04B2CAF22446&eid=BEBB33B35AAF4DFE&journal_id=1009-5896&journal_name=电子与信息学报&referenced_num=1&reference_num=13