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Efficient and Secure Elliptic Curve Cryptography Implementation of Curve P-256

Public key cryptography has become the de facto standard for secure communications over the Internet and other communications media such as cellular and Wi-Fi. Elliptic curves offer both better performance and higher security than first generation public key techniques and are gaining acceptance as the foundation for future Internet security such as the security-enhanced Border Gateway Protocol (BGPSEC). In this paper, we present a performance optimized and side-channel-attack resistant implementation of the NIST Curve P-256 which provides 128-bits of security. We also discuss operation time vs. storage trade-offs for various approaches.