On oriented supersingular elliptic curves

نویسندگان

چکیده

We revisit theoretical background on OSIDH (Oriented Supersingular Isogeny Diffie-Hellman protocol), which is an isogeny-based key-exchange protocol proposed by Colò and Kohel at NutMiC 2019. give a proof of fundamental theorem for OSIDH. The was stated without proof. Furthermore, we consider parameters OSIDH, sufficient condition the to work, estimate size certain security level.

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ژورنال

عنوان ژورنال: Finite Fields and Their Applications

سال: 2021

ISSN: ['1090-2465', '1071-5797']

DOI: https://doi.org/10.1016/j.ffa.2020.101777