Some computational aspects of Jacobians of curves in the family \(y^3=\gamma x^5+\delta\) over \(\mathbb F_p\)

DOI10.1016/j.ffa.2005.09.003zbMath1152.14020OpenAlexW1588933465MaRDI QIDQ946889

Régis Blache, Jorge Estrada Sarlabous, Jean Pierre Cherdieu

Publication date: 25 September 2008

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2005.09.003

zbMATH Keywords

algorithmsupersingularJacobi sums

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (1)

On the torsion of the Jacobians of superelliptic curves \(y^q = x^p + a\)

Cites Work

• A note on the norms of algebraic numbers associated to Jacobi sums
• Remarks on the zeta function of some diagonal hyperelliptic curves
• Endomorphisms of Abelian varieties over finite fields
• Computing in the Jacobian of a Hyperelliptic Curve
• Simple Factors in the Jacobian of a Fermat Curve
• Lattice basis reduction, Jacobi sums and hyperelliptic cryptosystems
• On the Jacobian Varieties of Picard Curves: Explicit Addition Law and Algebraic Structure
• Jacobi Sums as "Grossencharaktere"
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