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Constructing an efficient hash function from $3$-isogenies
2017
JSIAM Letters
Charles et al. proposed hash functions based on the difficulty of computing isogenies between supersingular elliptic curves. Yoshida and Takashima then improved the 2-isogeny hash function computation by using some specific properties of 2-torsion points. In this paper, we extend the technique to 3-isogenies and give the efficient 3-isogeny hash computation based on a simple representation of the (backtracking) 3-torsion point. Moreover, we implement the 2and 3-isogeny hash functions using
doi:10.14495/jsiaml.9.29
fatcat:ygtkwofggrf7bobsapm3x6cdu4