AN ALGORITHM FOR COMPUTING A SEQUENCE OF RICHELOT ISOGENIES
Katsuyuki Takashima, Reo Yoshida · Bulletin of the Korean Mathematical Society · 2009
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 $\mathbb{F}_{p2}$ or $\mathbb{F}_{p4}$ . Based on this, we describe a practical algorithm for computing a Richelot isogeny sequence.