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Eccfrog512ck2: An Enhanced 512-Bit Weierstrass Elliptic Curve [pdf]
Whilst many key exchange and digital signature methods use the NIST P256 (secp256r1) and secp256k1 curves, there is often a demand for increased security. With these curves, we have a 128-bit security. These security levels can be increased to 256-bit security with NIST P-521 Curve 448 and Brainpool-P512. This paper outlines a new curve - Eccfrog512ck2 - and which provides 256-bit security and enhanced performance over NIST P-521. Along with this, it has side-channel resistance and is designed to avoid weaknesses such as related to the MOV attack. It shows that Eccfrog512ck2 can have a 61.5% speed-up on scalar multiplication and a 33.3% speed-up on point generation over the NIST P-521 curve.
View a PDF of the paper titled Eccfrog512ck2: An Enhanced 512-bit Weierstrass Elliptic Curve, by V\'ictor Duarte Melo and William J. Buchanan View PDFHTML (experimental) Abstract:Whilst many key exchange and digital signature methods use the NIST P256 (secp256r1) and secp256k1 curves, there is often a demand for increased security. From: William Buchanan Prof [ view email][v1] Sun, 13 Apr 2025 14:07:21 UTC (169 KB)
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