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A trade-off between classical and quantum circuit size for an attack against CSIDH

We propose a heuristic algorithm to solve the underlying hard problem of the CSIDH cryptosystem (and other isogeny-based cryptosystems using elliptic curves with endomorphism ring isomorphic to an imaginary quadratic order ). Let Δ = Disc( ) (in CSIDH, Δ = −4p for p the security parameter). Let 0 <...

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Principais autores: Biasse Jean-François, Bonnetain Xavier, Pring Benjamin, Schrottenloher André, Youmans William
Formato: Artigo
Idioma:Inglês
Publicado: De Gruyter 2020-11-01
Series:Journal of Mathematical Cryptology
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Acceso en liña:https://doi.org/10.1515/jmc-2020-0070
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