More Embedded Curves for SNARK-Pairing-Friendly Curves

ePrint Report: More Embedded Curves for SNARK-Pairing-Friendly Curves

Aurore Guillevic

Embedded curves are elliptic curves defined over a prime field whose order (characteristic) is the prime subgroup order (the scalar field) of a pairing-friendly curve. Embedded curves have a large prime-order subgroup of cryptographic size but are not pairing-friendly themselves. Sanso and El Housni published families of embedded curves for BLS pairing-friendly curves. Their families are parameterized by polynomials, like families of pairing-friendly curves are. However their work did not …

cryptographic curve defined elliptic embedded eprint report large order prime report size