Eccfrog512ck2: An Enhanced 512-bit Weierstrass Elliptic Curve
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913046639673344 |
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| author | Melo, Víctor Duarte Buchanan, William J. |
| author_facet | Melo, Víctor Duarte Buchanan, William J. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09584 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Eccfrog512ck2: An Enhanced 512-bit Weierstrass Elliptic Curve Melo, Víctor Duarte Buchanan, William J. Cryptography and Security 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. |
| title | Eccfrog512ck2: An Enhanced 512-bit Weierstrass Elliptic Curve |
| topic | Cryptography and Security |
| url | https://arxiv.org/abs/2504.09584 |