[Resource Topic] 2022/274: EcGFp5: a Specialized Elliptic Curve

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EcGFp5: a Specialized Elliptic Curve

Authors: Thomas Pornin


We present here the design and implementation of ecGFp5, an elliptic curve meant for a specific compute model in which operations modulo a given 64-bit prime are especially efficient. This model is primarily intended for running operations in a virtual machine that produces and verifies zero-knowledge STARK proofs. We describe here the choice of a secure curve, amenable to safe cryptographic operations such as digital signatures, that maps to such models, while still providing reasonable performance on general purpose computers.

ePrint: https://eprint.iacr.org/2022/274

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