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math.NT2018
LLL and stochastic sandpile models
Jintai Ding, Seungki Kim, Tsuyoshi Takagi +1
Theaimofthepresentpaperistosuggestthatstatisticalphysicsprovides the correct language to understand the practical behavior of the LLL algorithm, most of which are left unexplained…
math.NT2014
Some properties of -adic expansions on hyperelliptic Koblitz curves
Keisuke Hakuta, Hisayoshi Sato, Tsuyoshi Takagi
This paper explores two techniques on a family of hyperelliptic curves that have been proposed to accelerate computation of scalar multiplication for hyperelliptic curve cryptosyst…