Abstract
This paper introduces ‘hyper-and-elliptic-curve cryptography’, in which a single high-security group supports fast genus-2-hyperelliptic-curve formulas for variable-base-point single-scalar multiplication (for example, Diffie–Hellman shared-secret computation) and at the same time supports fast elliptic-curve formulas for fixed-base-point scalar multiplication (for example, key generation) and multi-scalar multiplication (for example, signature verification).
| Original language | English |
|---|---|
| Pages (from-to) | 181-202 |
| Journal | LMS Journal of Computation and Mathematics |
| Volume | 17 |
| Issue number | Spec. Issue A |
| DOIs | |
| Publication status | Published - 2014 |
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