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A note on the Tate pairing of curves over finite fields

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Publication:1880185
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DOI10.1007/s00013-003-4773-2zbMath1051.11030OpenAlexW2031424854MaRDI QIDQ1880185

Florian Hess

Publication date: 22 September 2004

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-003-4773-2


zbMATH Keywords

finite fieldcurveChebotarev density theoremTate pairing


Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Cryptography (94A60) Curves over finite and local fields (11G20) Computational aspects of algebraic curves (14Q05) Algebraic functions and function fields in algebraic geometry (14H05)


Related Items (6)

Multiradical isogenies ⋮ Breaking the decisional Diffie-Hellman problem for class group actions using genus theory: extended version ⋮ Radical isogenies ⋮ Closed formulae for the Weil pairing inversion ⋮ The Tate pairing for abelian varieties over finite fields ⋮ Pairing inversion for finding discrete logarithms


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  • Magma





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