Three Constructions of Authentication Codes from Power Function over Finite Fields with Perfect Secrecy

被引：0
|
作者：
Wang, Xiuli [1 ]
Chen, Shangdi [1 ]
Zhou, Maoyuan [1 ,2 ]
机构：
[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China
[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
来源：
ARS COMBINATORIA | 2012年 / 106卷
关键词：
authentication codes; cryptography; rings; perfect nonlinear mappings; secrecy;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present three algebraic constructions of authentication codes from power function over finite fields with secrecy and realize an application of some properties about authentication codes in [1]. The first and the third class are optimal. Some of the codes in the second class are optimal, and others in the second class are asymptotically optimal. All authentication codes in the three classes provide perfect secrecy.
引用
收藏
页码：225 / 234
页数：10
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