AN ALGORITHM FOR COMPUTING A SEQUENCE OF RICHELOT ISOGENIES

Katsuyuki Takashima, Reo Yoshida
2009 Bulletin of the Korean Mathematical Society  
We show that computation of a sequence of Richelot isogenies from specified supersingular Jacobians of genus-2 curves over Fp can be executed in F p 2 or F p 4 . Based on this, we describe a practical algorithm for computing a Richelot isogeny sequence.
doi:10.4134/bkms.2009.46.4.789 fatcat:tdj3h4eqkzb3rpoax7d3g2mmce