New family of non-cartesian perfect authentication codes

Abstract

The authentication codes based on the rational normal curves in projective spaces over finite fields were the first construction of the non-Cartesian t-fold perfect authentication codes for arbitrary positive integer t. In this paper it shows that the subfield rational normal curves provide a new family of such codes, its expected probabilities of successful deception for optimal spoofing attacks are less than those probabilities of former constructed codes in most cases. © 2009 Springer Berlin Heidelberg.