Efficient $(3,3)$-isogenies on fast Kummer surfaces
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909303809507328 |
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| author | Santos, Maria Corte-Real Costello, Craig Smith, Benjamin |
| author_facet | Santos, Maria Corte-Real Costello, Craig Smith, Benjamin |
| contents | We give an alternative derivation of $(N,N)$-isogenies between fast Kummer surfaces which complements existing works based on the theory oftheta functions. We use this framework to produce explicit formulae for the case of $N = 3$, and show that the resulting algorithms are more efficient than all prior $(3, 3)$-isogeny algorithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_01223 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Efficient $(3,3)$-isogenies on fast Kummer surfaces Santos, Maria Corte-Real Costello, Craig Smith, Benjamin Cryptography and Security Number Theory We give an alternative derivation of $(N,N)$-isogenies between fast Kummer surfaces which complements existing works based on the theory oftheta functions. We use this framework to produce explicit formulae for the case of $N = 3$, and show that the resulting algorithms are more efficient than all prior $(3, 3)$-isogeny algorithms. |
| title | Efficient $(3,3)$-isogenies on fast Kummer surfaces |
| topic | Cryptography and Security Number Theory |
| url | https://arxiv.org/abs/2402.01223 |