Wei, Zhao
(2024)
*Analysis of Isomorphism Classes of a Family of Elliptic Curves Over Finite Fields.*
Asian Journal of Mathematics and Computer Research, 31 (2).
pp. 80-86.
ISSN 2395-4213

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## Abstract

Doche et al. constructed a family of elliptic curves (DIK elliptic curves) and proposed more efficient tripling formulas leading to a fast scalar multiplication algorithm. In this paper we present a direct method to compute the number of \(\bar{F}\)q-isomorphism classes (isomorphism over \(\bar{F}\)q ) and \(\bar{F}\)q isomorphism classes of DIK family of elliptic curves defined over a finite field \(\bar{F}\)q. We give the explicit formulae for the number of \(\bar{F}\)q-isomorphism and an estimate formulae for the number of isomorphism classes. These result can be used in the elliptic curve cryptosystems.

Item Type: | Article |
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Subjects: | Article Paper Librarian > Mathematical Science |

Depositing User: | Unnamed user with email support@article.paperlibrarian.com |

Date Deposited: | 01 May 2024 07:23 |

Last Modified: | 01 May 2024 07:26 |

URI: | http://editor.journal7sub.com/id/eprint/2784 |