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Historically, Elliptic Curve Cryptography (ECC) is an active field of appliedcryptography where recent focus is on high speed, constant time, and formallyverified implementations. While there are a handful of outliers where all theseconcepts join and land in real-world deployments, these are generally on acase-by-case basis: e.g. a library may feature such X25519 or P-256 code, butnot for all curves. In this work, we propose and implement a methodology thatfully automates the implementation, testing, and integration of ECC stacks withthe above properties. We demonstrate the flexibility and applicability of ourmethodology by seamlessly integrating into three real-world projects: OpenSSL,Mozilla's NSS, and the GOST OpenSSL Engine, achieving roughly 9.5x, 4.5x,13.3x, and 3.7x speedup on any given curve for key generation, key agreement,signing, and verifying, respectively. Furthermore, we showcase the efficacy ofour testing methodology by uncovering flaws and vulnerabilities in OpenSSL, anda specification-level vulnerability in a Russian standard. Our work bridges thegap between significant applied cryptography research results and deployedsoftware, fully automating the process.

Set It and Forget It! Turnkey ECC for Instant Integration