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AN ALGORITHM FOR COMPUTING A SEQUENCE OF RICHELOT ISOGENIES

  • Takashima, Katsuyuki (INFORMATION TECHNOLOGY R&D CENTER MITSUBISHI ELECTRIC) ;
  • Yoshida, Reo (DEPARTMENT OF SOCIAL INFORMATICS GRADUATE SCHOOL OF INFORMATICS KYOTO UNIVERSITY)
  • Published : 2009.07.31

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 $\mathbb{F}_{p2}$ or $\mathbb{F}_{p4}$ . Based on this, we describe a practical algorithm for computing a Richelot isogeny sequence.

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Cited by

  1. Computing a Sequence of 2-Isogenies on Supersingular Elliptic Curves vol.E96.A, pp.1, 2013, https://doi.org/10.1587/transfun.E96.A.158