Elliptic butterflies
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910058140401664 |
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| author | Couveignes, Jean-Marc Lercier, Reynald |
| author_facet | Couveignes, Jean-Marc Lercier, Reynald |
| contents | We study natural evaluation and interpolation problems for elliptic functions and prove that they allow a recursive treatment using a variant of classical butterflies first introduced by Gauss. We deduce the existence of straight-line programs with complexity scaling with $d\log(d)$ for these problems and present applications to finite field arithmetic, coding theory and cryptography. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_27375 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Elliptic butterflies Couveignes, Jean-Marc Lercier, Reynald Number Theory 11T24, 14H52 We study natural evaluation and interpolation problems for elliptic functions and prove that they allow a recursive treatment using a variant of classical butterflies first introduced by Gauss. We deduce the existence of straight-line programs with complexity scaling with $d\log(d)$ for these problems and present applications to finite field arithmetic, coding theory and cryptography. |
| title | Elliptic butterflies |
| topic | Number Theory 11T24, 14H52 |
| url | https://arxiv.org/abs/2510.27375 |