2025/04/13 by Víctor Duarte Melo, William J. Buchanan, Melo, Víctor Duarte +1 · 3 voices · 1 citation
Computer Science · #Coding theory and cryptography #Cryptography and Residue Arithmetic #Digital signature #Interconnection Networks and Systems #Key (lock) #NIST #Point (geometry) #Scalar (mathematics) #Scalar multiplication #Signature (topology) #cs.CR
paper · pdf · doi:10.48550/arxiv.2504.09584
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2025/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.