A review of the current state of multivariate public-key cryptosystems compares and contrasts the most promising multivariate schemes in digital signatures and public-key encryption as well as their security.
Pascal AuscherFaculté de Mathématiques et d'Informatique, Université de Picardie-Jules Verne LAMFA, CNRS-FRE 2270Steve HofmannDepartment of Mathematics, University of Missouri at ColumbiaJohn L. LewisDepartment of Mathematics, University of KentuckyPhilippe TchamitchianFaculté des Sciences et Techniques de Saint-Jérôme, Université d'Aix-Marseille III LAT, CNRS-UMR 6632