Welcome to the resource topic for 2025/1731
Title:
ECCFROG522PP: An Enhanced 522-bit Weierstrass Elliptic Curve
Authors: Vıctor Duarte Melo, William J Buchanan
Abstract:Whilst many key exchange and digital signature systems still rely on NIST P-256 (secp256r1) and secp256k1, offering around 128-bit security, there is an increasing demand for transparent and reproducible curves at the 256-bit security level. Standard higher-security options include NIST P-521, Curve448, and Brainpool-P512. This paper presents ECCFROG522PP (‘Presunto Powered’), a 522-bit prime-field elliptic curve that delivers security in the same classical $\sim$260-bit ballpark as NIST P-521, but with a fundamentally different design philosophy. All of the curve parameters are deterministically derived from a fixed public seed via BLAKE3, with zero hidden choices. The curve has prime order (cofactor = 1), a verified twist with a proven approximate 505-bit prime factor, safe embedding degree, and passes anti-MOV checks up to k <200 and CM discriminant sanity up to 100k. Unlike prior opaque or ad-hoc constructions, ECCFROG522PP is fully reproducible: anyone can regenerate and verify it byte-for-byte using the published scripts. The intent is not to outperform NIST P-521 in raw speed, but to maximise trust, verifiability, and long-term auditability in a practical curve of equivalent security level.
ePrint: https://eprint.iacr.org/2025/1731
See all topics related to this paper.
Feel free to post resources that are related to this paper below.
Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.
For more information, see the rules for Resource Topics .