An algorithm for computing a sequence of Richelot isogenies
Bull. Korean Math. Soc. 2009 Vol. 46, No. 4, 789-802
https://doi.org/10.4134/BKMS.2009.46.4.789
Printed July 1, 2009
Katsuyuki Takashima and Reo Yoshida
Mitsubishi Electric and Kyoto University
Abstract : We show that computation of a sequence of Richelot isogenies from specified supersingular Jacobians of genus-2 curves over $\mathbb F_{p}$ can be executed in $\mathbb F_{p^2}$ or $\mathbb F_{p^4}$. Based on this, we describe a practical algorithm for computing a Richelot isogeny sequence.
Keywords : hyperelliptic curve, genus two, Richelot isogeny, isogeny graph, supersingular curve
MSC numbers : 14Q05, 11Y16, 11T71, 14K02
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