An algorithm for computing a sequence of richelot isogenies

Katsuyuki Takashima, Reo Yoshida

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We show that computation of a sequence of Richelot isogenies from specified supersingular Jacobians of genus-2 curves over Fp can be executed in Fp2 or Fp4. Based on this, we describe a practical algorithm for computing a Richelot isogeny sequence.

Original languageEnglish
Pages (from-to)789-802
Number of pages14
JournalBulletin of the Korean Mathematical Society
Volume46
Issue number4
DOIs
Publication statusPublished - 2009
Externally publishedYes

Keywords

  • Genus two
  • Hyperelliptic curve
  • Isogeny graph
  • Richelot isogeny
  • Supersingular curve

ASJC Scopus subject areas

  • Mathematics(all)

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