利用有限域上奇异伪辛几何构作具有仲裁的认证码

Construction of Authentication Codes with Arbitration from Singular Pseudo-Symplectic Geometry over Finite Fields

中文关键词:  有限域  奇异伪辛几何  具有仲裁的认证码.

英文关键词:finite fields  singular pseudo-symplectic geometry  authentication codes with arbitration.

中文摘要:

      利用有限域上奇异伪辛几何构作了一个具有仲裁的认证码,计算了这个码的参数,当发方编码规则和收方解码规则按等概率分布选取时,计算出各种攻击成功的概率.

英文摘要:

      A construction of authentication codes with arbitration from singular pseudo-symplectic geometry over finite fields is given and the parameters of the code are computed. Under the assumption that the encoding rules of the transmitter and the receiver are chosen according to a uniform probability distribution, the probabilities of success for different types of deceptions are also computed.