The Tate pairing for abelian varieties over finite fields

DOI10.5802/jtnb.764zbMath1246.11123OpenAlexW2016521677MaRDI QIDQ719153

Peter Bruin

Publication date: 10 October 2011

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2011__23_2_323_0/

zbMATH Keywords

abelian varietiesTate pairing

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Curves over finite and local fields (11G20)

Related Items (4)

Multiradical isogenies ⋮ On the Kolyvagin's formula, the Tate pairing associated to an isogeny, the local Artin map and the Hilberts symbol ⋮ Breaking the decisional Diffie-Hellman problem for class group actions using genus theory: extended version ⋮ Weak instances of class group action based cryptography via self-pairings

Cites Work

• A note on the Tate pairing of curves over finite fields
• The Weil pairing and the Hilbert symbol
• Duality theorems for curves over p-adic fields
• A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves
• ABELIAN VARIETIES OVER FINITE FIELDS
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