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Implementing Complete Formulas on Weierstrass Curves in Hardware
Elliptic curve cryptography FPGA Weierstrass curves
2016/12/12
This work revisits the recent complete addition formulas for prime order elliptic curves of Renes, Costello and Batina in light of parallelization. We introduce the first hardware implementation of th...
Faster Pairings on Special Weierstrass Curves
Tate pairing Miller’s algorithm elliptic curves
2009/6/15
This paper presents efficient formulas for computing cryptographic
pairings on the curve y2 = cx3 + 1 over fields of large characteristic. We
provide examples of pairing-friendly elliptic curves of ...