Paper 2020/212 Original: eprint.iacr.org/2020/212 ↗
Isogenies of certain abelian varieties over finite fields with p-ranks zero
Abstract
We study the isogenies of certain abelian varieties over finite fields with non-commutative endomorphism algebras with a view to potential use in isogeny-based cryptography. In particular, we show that any two such abelian varieties with endomorphism rings maximal orders in the endomorphism algebra are linked by a cyclic isogeny of prime degree.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2020-05-19: last updated
- 2020-02-19: published
- Short URL
- https://ia.cr/2020/212
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2020/212,
author = {Steve Thakur},
title = {Isogenies of certain abelian varieties over finite fields with p-ranks zero},
howpublished = {Cryptology {ePrint} Archive, Paper 2020/212},
year = {2020},
url = {https://eprint.iacr.org/2020/212}
}