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Efficient Computation of (2^n,2^n)-Isogenies
Aug. 3, 2022, 10:30 a.m. |
IACR News www.iacr.org
ePrint Report: Efficient Computation of (2^n,2^n)-Isogenies
Sabrina Kunzweiler
Elliptic curves are abelian varieties of dimension one; the two-dimensional analogue are abelian surfaces. In this work we present an algorithm to compute $(2^n,2^n)$-isogenies of abelian surfaces defined over finite fields. These isogenies are the natural generalization of $2^n$-isogenies of elliptic curves. Our algorithm is designed to be used in higher-dimensional variants of isogeny-based cryptographic protocols such as G2SIDH which is a genus-$2$ version of the Supersingular Isogeny Diffie-Hellman (SIDH) key exchange. …
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