Hyper-and-elliptic-curve cryptography

D.J. Bernstein, T. Lange

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)
14 Downloads (Pure)


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 languageEnglish
Pages (from-to)181-202
JournalLMS Journal of Computation and Mathematics
Issue numberSpec. Issue A
Publication statusPublished - 2014


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