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Superspecial hyperelliptic curves of genus 4 over small finite fields

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Publication:1725935
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DOI10.1007/978-3-030-05153-2_3zbMath1446.11120OpenAlexW2907934139MaRDI QIDQ1725935

Momonari Kudo, Shushi Harashita

Publication date: 15 February 2019

Full work available at URL: https://doi.org/10.1007/978-3-030-05153-2_3


zbMATH Keywords

hyperelliptic curvesmaximal curvessuperspecial curves


Mathematics Subject Classification ID

Curves over finite and local fields (11G20)


Related Items

Efficient search for superspecial hyperelliptic curves of genus four with automorphism group containing \(\mathbf{C}_6\) ⋮ Fast enumeration of superspecial hyperelliptic curves of genus 4 with automorphism group \(V_4\) ⋮ Representation of non-special curves of genus 5 as plane sextic curves and its application to finding curves with many rational points ⋮ On the existence of superspecial and maximal nonhyperelliptic curves of genera four and five ⋮ Binary curves of small fixed genus and gonality with many rational points


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  • Magma


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