Cryptology ePrint Archive: Report 2010/020

Number of Jacobi quartic curves over finite fields

Rongquan Feng, Hongfeng Wu

Abstract: In this paper the number of $\overline{\mathbb{F}}_q$-isomorphism classes of Jacobi quartic curves, i.e., the number of Jacobi quartic curves with distinct $j$-invariants, over finite field $\mathbb{F}_q$ is enumerated.

Category / Keywords: Elliptic curves, Jacobi quartic curves, isomorphism classes, cryptography

Date: received 13 Jan 2010

Contact author: whfmath at gmail com

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Version: 20100114:061109 (All versions of this report)

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