AN ALGORITHM FOR COMPUTING A SEQUENCE OF RICHELOT ISOGENIES

AN ALGORITHM FOR COMPUTING A SEQUENCE OF RICHELOT ISOGENIES

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.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Taehan Suhakhoe hoebo 2009, Vol.46 (4), p.789-802
Hauptverfasser: Takashima, Katsuyuki, Yoshida, Reo
Format: Artikel
Sprache:kor
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:1015-8634