Efficient Pairing Computation with Theta Functions
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Publication:4931653
DOI10.1007/978-3-642-14518-6_21zbMath1260.11043OpenAlexW1508114419MaRDI QIDQ4931653
Publication date: 29 September 2010
Published in: Lecture Notes in Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-14518-6_21
Abelian varieties of dimension (> 1) (11G10) Theta functions and abelian varieties (14K25) Algebraic theory of abelian varieties (14K05)
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Arithmetic on abelian and Kummer varieties ⋮ Optimal Eta Pairing on Supersingular Genus-2 Binary Hyperelliptic Curves ⋮ A survey of fault attacks in pairing based cryptography ⋮ Fast change of level and applications to isogenies ⋮ Breaking SIDH in polynomial time ⋮ Computing modular correspondences for abelian varieties ⋮ Computing separable isogenies in quasi-optimal time ⋮ Arithmetic of the level four theta model of elliptic curves ⋮ A generalisation of Miller's algorithm and applications to pairing computations on abelian varieties ⋮ Complete addition formulas on the level four theta model of elliptic curves ⋮ Computing $(\ell ,\ell )$-isogenies in polynomial time on Jacobians of genus $2$ curves
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