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Isogenies of certain abelian varieties over finite fields with p-ranks zero
January 01, 2020 Β· Declared Dead Β· π IACR Cryptology ePrint Archive
"No code URL or promise found in abstract"
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Authors
Steve Thakur
arXiv ID
2001.00210
Category
math.NT
Cross-listed
cs.CR
Citations
0
Venue
IACR Cryptology ePrint Archive
Last Checked
4 months ago
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.
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