Cryptology ePrint Archive: Report 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.

Category / Keywords: foundations / Isogenies

Date: received 19 Feb 2020, last revised 18 Mar 2020

Contact author: stevethakur01 at gmail com

Available format(s): PDF | BibTeX Citation

Version: 20200319:021718 (All versions of this report)

Short URL: ia.cr/2020/212


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