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Efficient isogeny proofs using generic techniques. (English) Zbl 1540.94060

Tibouchi, Mehdi (ed.) et al., Applied cryptography and network security. 21st international conference, ACNS 2023, Kyoto, Japan, June 19–22, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 13906, 248-275 (2023).

MSC: 94A60 11G20

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Houben, Marc; Streng, Marco

Generalized class polynomials. (English) Zbl 1524.11124

Res. Number Theory 8, No. 4, Paper No. 103, 26 p. (2022).

MSC: 11G15 11Y16 11F03 11G18

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Bröker, Reinier; Hubbard, David; Washington, Lawrence

Explicit computations in Iwasawa theory. (English) Zbl 1532.11154

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 137-153 (2019).

Reviewer: Cornelius Greither (Neubiberg)

MSC: 11R23 14K22

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Chevardin, V. E.

Isomorphic transformations of an elliptic curve over a finite field. (English. Russian original) Zbl 1316.94065

Cybern. Syst. Anal. 49, No. 3, 472-474 (2013); translation from Kibern. Sist. Anal. 2013, No. 3, 168-171 (2013).

MSC: 94A60 14G50

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Chan, Heng Huat; Konstantinou, Elisavet; Kontogeorgis, Aristides; Tan, Chik How

What is your “birthday elliptic curve”? (English) Zbl 1257.11058

Finite Fields Appl. 18, No. 6, 1232-1241 (2012).

Reviewer: Franz Lemmermeyer (Jagstzell)

MSC: 11G15 11Y40 11R37 11G20

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Bröker, Reinier; Lauter, Kristin; Sutherland, Andrew V.

Modular polynomials via isogeny volcanoes. (English) Zbl 1267.11125

Math. Comput. 81, No. 278, 1201-1231 (2012).

MSC: 11Y16 11G15 11G20

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Konstantinou, Elisavet; Kontogeorgis, Aristides

Ramanujan’s class invariants and their use in elliptic curve cryptography. (English) Zbl 1193.14033

Comput. Math. Appl. 59, No. 8, 2901-2917 (2010).

MSC: 14G50 94A60 14H52 11G15 11R29 11T71

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Enge, Andreas

Computing modular polynomials in quasi-linear time. (English) Zbl 1215.11121

Math. Comput. 78, No. 267, 1809-1824 (2009).

Reviewer: Dimitros Poulakis (Thessaloniki)

MSC: 11Y16 11G15 11G50

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Enge, Andreas

The complexity of class polynomial computation via floating point approximations. (English) Zbl 1208.11136

Math. Comput. 78, No. 266, 1089-1107 (2009).

Reviewer: Juan Tena Ayuso (Valladolid)

MSC: 11Y16 11G15

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Moody, Dustin

The Diffie-Hellman problem and generalization of Verheul’s theorem. (English) Zbl 1174.14030

Des. Codes Cryptography 52, No. 3, 381-390 (2009).

MSC: 14H52 11G20 14G15 14Q05 11T71

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Bröker, Reinier; Charles, Denis; Lauter, Kristin

Evaluating large degree isogenies and applications to pairing based cryptography. (English) Zbl 1186.94428

Galbraith, Steven D. (ed.) et al., Pairing-based cryptography – Pairing 2008. Second international conference, Egham, UK, September 1–3, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-85503-3/pbk). Lecture Notes in Computer Science 5209, 100-112 (2008).

MSC: 94A60 11G20 11T71 11Y16

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Found 11 Documents (Results 1–11)

Efficient isogeny proofs using generic techniques. (English) Zbl 1540.94060

Generalized class polynomials. (English) Zbl 1524.11124

Explicit computations in Iwasawa theory. (English) Zbl 1532.11154

Isomorphic transformations of an elliptic curve over a finite field. (English. Russian original) Zbl 1316.94065

What is your “birthday elliptic curve”? (English) Zbl 1257.11058

Modular polynomials via isogeny volcanoes. (English) Zbl 1267.11125

Ramanujan’s class invariants and their use in elliptic curve cryptography. (English) Zbl 1193.14033

Computing modular polynomials in quasi-linear time. (English) Zbl 1215.11121

The complexity of class polynomial computation via floating point approximations. (English) Zbl 1208.11136

The Diffie-Hellman problem and generalization of Verheul’s theorem. (English) Zbl 1174.14030

Evaluating large degree isogenies and applications to pairing based cryptography. (English) Zbl 1186.94428

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