On the number of the pairing-friendly curves

Takanori Yasuda; Masaya Yasuda; Takeshi Shimoyama; Jun Kogure

On the number of the pairing-friendly curves

Takanori Yasuda, Masaya Yasuda, Takeshi Shimoyama, Jun Kogure

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

抄録

In pairing-based cryptography, it is necessary to choose an elliptic curve with a small embedding degree and a large prime-order subgroup, which is called a pairing-friendly curve. In this paper, we study the number of the pairing-friendly curves with a given large prime-order subgroup.

本文言語	英語
ページ（範囲）	11-15
ページ数	5
ジャーナル	International Journal of Pure and Applied Mathematics
巻	77
号	1
出版ステータス	出版済み - 5月 28 2012
外部発表	はい

!!!All Science Journal Classification (ASJC) codes

数学 (全般)
応用数学

他のファイルとリンク

引用スタイル

@article{39165c8d3d8249be9c3ea61f9a98867f,

title = "On the number of the pairing-friendly curves",

abstract = "In pairing-based cryptography, it is necessary to choose an elliptic curve with a small embedding degree and a large prime-order subgroup, which is called a pairing-friendly curve. In this paper, we study the number of the pairing-friendly curves with a given large prime-order subgroup.",

author = "Takanori Yasuda and Masaya Yasuda and Takeshi Shimoyama and Jun Kogure",

year = "2012",

month = may,

day = "28",

language = "English",

volume = "77",

pages = "11--15",

journal = "International Journal of Pure and Applied Mathematics",

issn = "1311-8080",

publisher = "Academic Publications Ltd.",

number = "1",

}

TY - JOUR

T1 - On the number of the pairing-friendly curves

AU - Yasuda, Takanori

AU - Yasuda, Masaya

AU - Shimoyama, Takeshi

AU - Kogure, Jun

PY - 2012/5/28

Y1 - 2012/5/28

N2 - In pairing-based cryptography, it is necessary to choose an elliptic curve with a small embedding degree and a large prime-order subgroup, which is called a pairing-friendly curve. In this paper, we study the number of the pairing-friendly curves with a given large prime-order subgroup.

AB - In pairing-based cryptography, it is necessary to choose an elliptic curve with a small embedding degree and a large prime-order subgroup, which is called a pairing-friendly curve. In this paper, we study the number of the pairing-friendly curves with a given large prime-order subgroup.

UR - http://www.scopus.com/inward/record.url?scp=84861408296&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84861408296&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84861408296

VL - 77

SP - 11

EP - 15

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

SN - 1311-8080

IS - 1

ER -

On the number of the pairing-friendly curves

抄録

!!!All Science Journal Classification (ASJC) codes

他のファイルとリンク

フィンガープリント

引用スタイル