摘要
传统的认证码中,报文由信源和编码规则唯一确定,但现实情况中,信源在同一编码规则作用下能够产生不止一个报文。分裂认证码正是基于这种现状而产生。本研究的目的是构造新的分裂认证码。运用有限域上射影空间的子空间结构和相关计数定理,构造了两个分裂认证码,并计算其参数。当所有规则都按等概率分布选取时,计算了敌方的假冒攻击和替代攻击成功的概率。结果表明,所构造的码能有效地抵抗敌方的假冒和替代攻击。
In traditional authentication codes, messages are determined by source state and encoding rule. However, the source state can produce more than one messages under the same encoding rule in reality. Splitting authentication codes are produced in this situation. The main focus of this research is the construction of new splitting authentication codes. Based on subspaee structures from projective space over finite fields and basic counting theories, two splitting authentication codes splitting are constructed, and their size parameters are computed. Assuming that the encoding rules are chosen according to a uniform probability distribution, the probabilities of a successful impersonation and a successful substitution by the opponent are computed. Results indicate that the newly constructed codes can effectively resist the enemy＇ s impersonation and substitution attack.
出处
《中国民航大学学报》
CAS
2015年第6期47-49,64,共4页
Journal of Civil Aviation University of China
基金
国家自然科学基金项目(61179026)
中国民航大学学生科技立项项目(152A035473026)
关键词
有限域
射影空间
分裂认证码
finite field
projective space
splitting authentication codes
