A Family of Subfield Hyperelliptic Curves for Use in Cryptography

摘要

This paper proposes a family of hyperelliptic curves of genus two for public-key cryptographic primitives. Being subfield curves, the members of this family are easy to generate. Although slightly slower than elliptic curves at the same security level, hyperelliptic curves of our family exhibit performance comparable to widely used hyperelliptic curves over prime fields.