• Title/Summary/Keyword: Richelot isogeny

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AN ALGORITHM FOR COMPUTING A SEQUENCE OF RICHELOT ISOGENIES

  • Takashima, Katsuyuki;Yoshida, Reo
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.4
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    • pp.789-802
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    • 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.