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 (e.g., Diffie--Hellman shared-secret computation) and at the same time supports fast elliptic-curve formulas for fixed-base-point scalar multiplication (e.g., key generation) and multi-scalar multiplication (e.g., signature verification).

Original language | English |
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Publisher | IACR |
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Number of pages | 21 |
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Publication status | Published - 2014 |
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Name | Cryptology ePrint Archive |
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Volume | 2014/379 |
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