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Arpin, Sarah; Chen, Mingjie; Lauter, Kristin E.; Scheidler, Renate; Stange, Katherine E.; Tran, Ha T. N.

Orientations and cycles in supersingular isogeny graphs. (English) Zbl 07926446

Bucur, Alina (ed.) et al., Research directions in number theory. Women in numbers V. Proceedings of the WIN5 workshop. Banff, Alberta, Canada, November 15–20, 2020. Cham: Springer. Assoc. Women Math. Ser. 33, 25-86 (2024).

MSC: 14G50 94A60 11G05

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Arpin, Sarah; Castryck, Wouter; Eriksen, Jonathan Komada; Lorenzon, Gioella; Vercauteren, Frederik

Generalized class group actions on oriented elliptic curves with level structure. arXiv:2407.14450

Preprint, arXiv:2407.14450 [math.NT] (2024).

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Arpin, Sarah; Griffon, Richard; Taylor, Libby; Triantafillou, Nicholas

On the arithmetic of a family of superelliptic curves. (English) Zbl 1535.14075

Manuscr. Math. 172, No. 3-4, 739-804 (2023).

Reviewer: Riccardo Pengo (Hannover)

MSC: 14H40 11G20 11G10 11G40 14H50

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Arpin, Sarah; Chen, Mingjie; Lauter, Kristin E.; Scheidler, Renate; Stange, Katherine E.; Tran, Ha T. N.

Orienteering with one endomorphism. (English) Zbl 1524.14057

Matematica 2, No. 3, 523-582 (2023).

Reviewer: Juan Tena Ayuso (Valladolid)

MSC: 14G50 94A60 11G20 14K02 11-04 11R52

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Arpin, Sarah; Camacho-Navarro, Catalina; Lauter, Kristin; Lim, Joelle; Nelson, Kristina; Scholl, Travis; Sotáková, Jana

Adventures in supersingularland. (English) Zbl 1517.94057

Exp. Math. 32, No. 2, 241-268 (2023).

MSC: 94A60 05C35 05C90 11Y16

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Arpin, Sarah; Bozlee, Sebastian; Herr, Leo; Smith, Hanson

The scheme of monogenic generators. II: Local monogenicity and twists. (English) Zbl 1524.11189

Res. Number Theory 9, No. 2, Paper No. 43, 39 p. (2023).

MSC: 11R04 14D20 13E15

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Arpin, Sarah; Bozlee, Sebastian; Herr, Leo; Smith, Hanson

The scheme of monogenic generators. I: Representability. (English) Zbl 1524.11188

Res. Number Theory 9, No. 1, Paper No. 14, 33 p. (2023).

MSC: 11R04 14D20 13E15

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Arpin, Sarah; Clements, James; Dartois, Pierrick; Eriksen, Jonathan Komada; Kutas, Péter; Wesolowski, Benjamin

Finding Orientations of Supersingular Elliptic Curves and Quaternion Orders. arXiv:2308.11539

Preprint, arXiv:2308.11539 [math.NT] (2023).

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Arpin, Sarah; Billingsley, Tyler Raven; Hast, Daniel Rayor; Lau, Jun Bo; Perlner, Ray; Robinson, Angela

A study of error floor behavior in QC-MDPC codes. (English) Zbl 1521.94123

Cheon, Jung Hee (ed.) et al., Post-quantum cryptography. 13th international workshop, PQCrypto 2022, virtual event, September 28–30, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13512, 89-103 (2022).

MSC: 94B35 94A60 81P94

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Arpin, Sarah

Adding Level Structure to Supersingular Elliptic Curve Isogeny Graphs. arXiv:2203.03531

Preprint, arXiv:2203.03531 [math.NT] (2022).

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Found 10 Documents (Results 1–10)

Orientations and cycles in supersingular isogeny graphs. (English) Zbl 07926446

Generalized class group actions on oriented elliptic curves with level structure. arXiv:2407.14450

On the arithmetic of a family of superelliptic curves. (English) Zbl 1535.14075

Orienteering with one endomorphism. (English) Zbl 1524.14057

Adventures in supersingularland. (English) Zbl 1517.94057

The scheme of monogenic generators. II: Local monogenicity and twists. (English) Zbl 1524.11189

The scheme of monogenic generators. I: Representability. (English) Zbl 1524.11188

Finding Orientations of Supersingular Elliptic Curves and Quaternion Orders. arXiv:2308.11539

A study of error floor behavior in QC-MDPC codes. (English) Zbl 1521.94123

Adding Level Structure to Supersingular Elliptic Curve Isogeny Graphs. arXiv:2203.03531

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