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,...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς:	Xiao Guanju, Luo Lixia, Deng Yingpu
Μορφή:	Άρθρο
Γλώσσα:	English
Έκδοση:	De Gruyter 2021-05-01
Σειρά:	Journal of Mathematical Cryptology
Θέματα:	elliptic curves isogeny graphs loops cycles 11g05 11g15 14h52 94a60
Διαθέσιμο Online:	https://doi.org/10.1515/jmc-2020-0029

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Έκδοση: (2019-12-01)

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