Three constructions of perfect authentication codes from projective geometry over finite fields

被引：1
|
作者：
Chen, Shangdi [1 ]
Zhang, Xiaolian [1 ]
机构：
[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 253卷
基金：
中国国家自然科学基金;
关键词：
Authentication code; Perfect; Splitting; Arbitration; Projective geometry; BOUNDS;
D O I：
10.1016/j.amc.2014.12.088
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct perfect authentication codes from the projective geometry over finite fields. There are three major constructions. The first construction is a perfect authentication code with splitting, the second construction is a perfect authentication codes with arbitration, and the third construction is a perfect authentication code without arbitration which is an extension of the second construction. Their parameters and probabilities of successful attacks are computed. (C) 2014 Elsevier Inc. All rights reserved.
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页码：308 / 317
页数：10
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