Isogeny graphs of ordinary abelian varieties

Author:

Brooks Ernest Hunter,Jetchev Dimitar,Wesolowski Benjamin

Funder

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference46 articles.

1. Kohel, D.: Endomorphism Rings of Elliptic Curves Over Finite Fields, ProQuest LLC, Ann Arbor, MI, Thesis (Ph.D.). University of California, Berkeley (1996)

2. Fouquet, M., Morain, F.: Isogeny Volcanoes and the SEA Algorithm Algorithmic Number Theory (Sydney, Lecture Notes in Computer Science). Springer, Berlin (2002)

3. Jao, D., Miller, S.D., Venkatesan, R.: Do all elliptic curves of the same order have the same difficulty of discrete log? Adv. Cryptol.–ASIACRYPT 3788, 21–40 (2005)

4. Jao, D., Miller, S.D., Venkatesan, R.: Expander graphs based on GRH with an application to elliptic curve cryptography. J. Number Theory 129(6), 1491–1504 (2009)

5. Sutherland, A.: Accelerating the CM method. LMS J. Comput. Math. 15, 172–204 (2012)

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