In this paper,we give transcendence bases of the rational invariants fields of the generalized classical groups and their subgroups B,N and T,and we also compute the orders of them.Furthermore,we give explicit generat...In this paper,we give transcendence bases of the rational invariants fields of the generalized classical groups and their subgroups B,N and T,and we also compute the orders of them.Furthermore,we give explicit generators for the rational invariants fields of the Borel subgroup and the Neron-Severi subgroup of the general linear group.展开更多
In the present paper, a construction of Cartesian authentication codes by using the BN pair decomposition of special linear group is presented. Moreover, under the case that the encoding rules are chosen according to ...In the present paper, a construction of Cartesian authentication codes by using the BN pair decomposition of special linear group is presented. Moreover, under the case that the encoding rules are chosen according to a uniform probability distribution, the probability of a successful impersonation attack and the probability of a successful substitution attack of the code are computed.展开更多
文摘In this paper,we give transcendence bases of the rational invariants fields of the generalized classical groups and their subgroups B,N and T,and we also compute the orders of them.Furthermore,we give explicit generators for the rational invariants fields of the Borel subgroup and the Neron-Severi subgroup of the general linear group.
文摘In the present paper, a construction of Cartesian authentication codes by using the BN pair decomposition of special linear group is presented. Moreover, under the case that the encoding rules are chosen according to a uniform probability distribution, the probability of a successful impersonation attack and the probability of a successful substitution attack of the code are computed.
