Supersingular curves with small noninteger endomorphisms Article Swipe
Jonathan Love
,
Dan Boneh
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.2140/obs.2020.4.7
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.2140/obs.2020.4.7
We introduce a special class of supersingular curves over ކ p 2 , characterized by the existence of noninteger endomorphisms of small degree.We prove a number of properties about this set.Most notably, we can partition this set into subsets such that curves within each subset have small-degree isogenies between them, but curves in distinct subsets have no small-degree isogenies between them.Despite this, we show that isogenies between distinct subsets can heuristically be computed efficiently, giving a technique for computing isogenies between certain prescribed curves that cannot be efficiently found by searching on -isogeny graphs.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.2140/obs.2020.4.7
- https://msp.org/obs/2020/4-1/obs-v4-n1-p02-s.pdf
- OA Status
- diamond
- Cited By
- 28
- References
- 18
- Related Works
- 10
- OpenAlex ID
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Raw OpenAlex JSON
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https://openalex.org/W3116436840Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.2140/obs.2020.4.7Digital Object Identifier
- Title
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Supersingular curves with small noninteger endomorphismsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2020Year of publication
- Publication date
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2020-12-29Full publication date if available
- Authors
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Jonathan Love, Dan BonehList of authors in order
- Landing page
-
https://doi.org/10.2140/obs.2020.4.7Publisher landing page
- PDF URL
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https://msp.org/obs/2020/4-1/obs-v4-n1-p02-s.pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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diamondOpen access status per OpenAlex
- OA URL
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https://msp.org/obs/2020/4-1/obs-v4-n1-p02-s.pdfDirect OA link when available
- Concepts
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Endomorphism, Mathematics, Pure mathematicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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28Total citation count in OpenAlex
- Citations by year (recent)
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2025: 3, 2024: 7, 2023: 7, 2022: 2, 2021: 7Per-year citation counts (last 5 years)
- References (count)
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18Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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