Isomorphism classes of Picard curves over finite fields

DOI10.1007/s00200-003-0145-1zbMath1081.14509OpenAlexW1980436768MaRDI QIDQ814892

Jong-Won Lee

Publication date: 8 February 2006

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-003-0145-1

zbMATH Keywords

algebraic function fieldsuperelliptic curve

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (1)

Some remarks on superspecial and ordinary curves of low genus

Cites Work

• Algebraic function fields and codes
• Nonsingular plane cubic curves over finite fields
• A subexponential algorithm for discrete logarithms over hyperelliptic curves of large genus over \(\text{GF}(q)\)
• Isomorphism classes of genus-2 hyperelliptic curves over finite fields
• Arithmetic on superelliptic curves
• The arithmetic of Jacobian groups of superelliptic cubics
• Abelian varieties over finite fields
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