New hybrid signature schemes with increasing level of resistance

Abstract

Post-quantum cryptography is becoming an increasingly popular topic for research around the world. The global cryptographic community is on the verge of standardizing new post-quantum algorithms. The world’s largest organizations conduct their own research in this direction. In this article, two hybrid schemes are proposed. They are constructed on generalized methods of increasing resistance of authentication schemes. Hybrid schemes consist of a combination of two independent signature schemes, one of which is the well-known classical asymmetric electronic signature scheme and another one is post-quantum scheme. Thus, this paper suggests the combining Crystals-Dilithium scheme with Rabin scheme and Elgamal scheme respectively. The paper also provides estimates of public key and signature lengths. Conclusions are drawn about the expediency of using generalized methods of combining with such kind of schemes.