An Attack for a 116bit ECDLP for a Barreto-Naehrig Curve

Author:

Manabe Takuro1,Ikuta Ken1,Joichi Sho1,Miura Hiromasa1,Kanzawa Shota2,Nogami Yasuyuki1,Kodera Yuta1,Kusaka Takuya3

Affiliation:

1. Okayama University,Graduate School of Environmental, Life, Natural Science and Technology,Okayama-Shi, Okayama,Japan,700-8530

2. The Japan Research Institute, Limited,Shinagawa-Ku, Tokyo,Japan,141-0022

3. Shimane University,Faculty of Materials for Energy,Matsue-Shi, Shimane,Japan,690-8504

Publisher

IEEE

Reference4 articles.

1. Analysis of a method to eliminate fruitless cycles for Pollard’s rho method with skew Frobenius mapping over a Barreto-Naehrig curve;miura,0

2. Speeding the Pollard and elliptic curve methods of factorization

3. Solving 114-bit ECDLP for a Barreto-Naehrig Curve;kusaka;ICISC2017,2017

4. Solving a 112-bit prime elliptic curve discrete logarithm problem on game consoles using sloppy reduction

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