A New Construction of Authentication Code with Arbitration from \((2\nu + 2 + 1)\)-dimensional Singular Pseudo-Symplectic Space

Abstract

A new construction of authentication codes with arbitration from \((2\nu-2+2+1)\)-dimensional singular pseudo-symplectic geometry on finite fields is given. Assuming that the encoding rules are chosen according to a uniform probability distribution, the parameters and the probabilities of success for different types of deceptions are also computed.