Paper 2020/212

Isogenies of certain abelian varieties over finite fields with p-ranks zero

Steve Thakur

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. MINOR revision.
Keywords
Isogeniesabelian varietiesnon-commutative endomorphism rings
Contact author(s)
stevethakur01 @ gmail com
History
2020-05-19: last of 2 revisions
2020-02-19: received
See all versions
Short URL
https://ia.cr/2020/212
License
Creative Commons Attribution
CC BY

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}
}
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