Number of general Jacobi quartic curves over finite fields

2010/01/17 by Rongquan Feng, Hongfeng Wu, Feng, Rongquan +1
Computer Science · Mathematics · #11G05 #11T06 #14H52 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11G05 #msc:11T06 #msc:14H52

paper · pdf · doi:10.48550/arxiv.1001.2872

11 pages

arxiv created 2010/01/17 · openalex publication_date 2010/01/17 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper the number of \mathbbF_q-isomorphism classes of general Jacobi quartic curves, i.e., the number of general Jacobi quartic curves with distinct j-invariants, over the finite field \mathbbF_q is enumerated.

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