DME: a full encryption, signature and KEM multivariate public key cryptosystem

Abstract

DME is a multivariate public key cryptosystem based on the composition of linear and exponential maps that allow the polynomials of the public key to be of a very high degree. A previous version of DME ([3]) was presented to the NIST call for postquantum cryptosystems (in the KEM category), but it did not qualify to the second round. This new version of DME adds two extra rounds of exponentials to the first version, and only needs arithmetic in the finite fields Fq and Fq2, dispensing the need for the field Fq3.