Constructing Cycles in Isogeny Graphs of Supersingular Elliptic Curves

Constructing Cycles in Isogeny Graphs of Supersingular Elliptic Curves

Loops and cycles play an important role in computing endomorphism rings of supersingular elliptic curves and related cryptosystems. For a supersingular elliptic curve E defined over 𝔽p2, if an imaginary quadratic order O can be embedded in End(E) and a prime L splits into two principal ideals in O,...

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Manylion Llyfryddiaeth
Prif Awduron:	Xiao Guanju, Luo Lixia, Deng Yingpu
Fformat:	Erthygl
Iaith:	English
Cyhoeddwyd:	De Gruyter 2021-05-01
Cyfres:	Journal of Mathematical Cryptology
Pynciau:	elliptic curves isogeny graphs loops cycles 11g05 11g15 14h52 94a60
Mynediad Ar-lein:	https://doi.org/10.1515/jmc-2020-0029

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