利用有限域上的向量空间构作带仲裁的认证码

A Construction of Authentication Codes with Arbitration from Vector Spaces over Finite Fields

中文关键词:  带仲裁的认证码  向量空间  有限域.

英文关键词:authentication code with arbitration  vector space  finite field.

中文摘要:

      本文利用有限域上向量空间的子空间构作了一类带仲裁的认证码，并计算了这个码的所有参数$.$当假设收方和发方的编码规则按等概率分布选取时，各种攻击成功的概率也被算出.

英文摘要:

      This paper is devoted to constructing an authentication code with arbitration using subspaces of vector spaces over finite fields. Moreover, if we choose the encoding rules of the transmitter and the decoding rules of the receiver according to a uniform probability distribution, then some parameters and the probabilities of successful attacks are computed.