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 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.2009.46.4.789Printed 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 Downloads: Full-text PDF