An algorithm for computing a sequence of richelot isogenies

Katsuyuki Takashima; Reo Yoshida

doi:10.4134/BKMS.2009.46.4.789

An algorithm for computing a sequence of richelot isogenies

Katsuyuki Takashima^*, Reo Yoshida

^*この研究の対応する著者

研究成果: Article › 査読

3 被引用数 (Scopus)

抄録

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_p2 or F_p4. Based on this, we describe a practical algorithm for computing a Richelot isogeny sequence.

本文言語	English
ページ（範囲）	789-802
ページ数	14
ジャーナル	Bulletin of the Korean Mathematical Society
巻	46
号	4
DOI	https://doi.org/10.4134/BKMS.2009.46.4.789
出版ステータス	Published - 2009
外部発表	はい

ASJC Scopus subject areas

数学 (全般)

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10.4134/BKMS.2009.46.4.789

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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.",

keywords = "Genus two, Hyperelliptic curve, Isogeny graph, Richelot isogeny, Supersingular curve",

author = "Katsuyuki Takashima and Reo Yoshida",

year = "2009",

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AU - Yoshida, Reo

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AB - 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.

KW - Genus two

KW - Hyperelliptic curve

KW - Isogeny graph

KW - Richelot isogeny

KW - Supersingular curve

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An algorithm for computing a sequence of richelot isogenies

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ASJC Scopus subject areas

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