Hunting for Curves with Many Points

DOI10.1007/978-3-642-01877-0_9zbMath1248.11044arXiv0902.3882OpenAlexW2137314100MaRDI QIDQ5323001

Gerard van der Geer

Publication date: 23 July 2009

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3882

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (11)

Serre’s genus fifty example ⋮ Reciprocal polynomials and curves with many points over a finite field ⋮ Zeta-functions of curves of genus 3 over finite fields ⋮ Representation of non-special curves of genus 5 as plane sextic curves and its application to finding curves with many rational points ⋮ On cohomology of generalized Suzuki curves and exponential sums ⋮ Counting curves over finite fields ⋮ On the Zeta function and the automorphism group of the generalized Suzuki curve ⋮ manYPoints ⋮ On the existence of superspecial and maximal nonhyperelliptic curves of genera four and five ⋮ Computational approach to enumerate non-hyperelliptic superspecial curves of genus 4 ⋮ Superspecial Trigonal Curves of Genus 5

Cites Work

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• Algebraic function fields and codes
• Corrigendum to: ``Improved upper bounds for the number of points on curves over finite fields
• Cyclotomic function fields, Hilbert class fields, and global function fields with many rational places
• Global function fields with many rational places over the ternary field
• Explicit global function fields over the binary field with many rational places
• Tables of curves with many points

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