### Abstract

Pollard's Rho method is well-known as a method for solving Elliptic Curve Discrete Logarithm Problem (ECDLP). It is based on an efficient random walk of rational points on elliptic curve. This research accelerates the random walk with associative rational points. Since associative rational points are generated with a small additional cost and thus the random walk becomes more efficient. In order to solve an ECDLP over Barreto-Naehrig curve, for an example, this paper applies associative rational points and then evaluates the efficiency by some experiments.

Original language | English |
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Title of host publication | 14th International Symposium on Communications and Information Technologies, ISCIT 2014 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 366-367 |

Number of pages | 2 |

ISBN (Print) | 9781479944163 |

DOIs | |

Publication status | Published - Jan 15 2015 |

Event | 14th International Symposium on Communications and Information Technologies, ISCIT 2014 - Incheon, Korea, Republic of Duration: Sep 24 2014 → Sep 26 2014 |

### Other

Other | 14th International Symposium on Communications and Information Technologies, ISCIT 2014 |
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Country | Korea, Republic of |

City | Incheon |

Period | 9/24/14 → 9/26/14 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Networks and Communications
- Information Systems

### Cite this

*14th International Symposium on Communications and Information Technologies, ISCIT 2014*(pp. 366-367). [7011933] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISCIT.2014.7011933

**Experimental evaluation of the efficiency of associative rational points for random walks on ECDLP.** / Kono, Yuki; Nogami, Yasuyuki; Kusaka, Takuya.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*14th International Symposium on Communications and Information Technologies, ISCIT 2014.*, 7011933, Institute of Electrical and Electronics Engineers Inc., pp. 366-367, 14th International Symposium on Communications and Information Technologies, ISCIT 2014, Incheon, Korea, Republic of, 9/24/14. https://doi.org/10.1109/ISCIT.2014.7011933

}

TY - GEN

T1 - Experimental evaluation of the efficiency of associative rational points for random walks on ECDLP

AU - Kono, Yuki

AU - Nogami, Yasuyuki

AU - Kusaka, Takuya

PY - 2015/1/15

Y1 - 2015/1/15

N2 - Pollard's Rho method is well-known as a method for solving Elliptic Curve Discrete Logarithm Problem (ECDLP). It is based on an efficient random walk of rational points on elliptic curve. This research accelerates the random walk with associative rational points. Since associative rational points are generated with a small additional cost and thus the random walk becomes more efficient. In order to solve an ECDLP over Barreto-Naehrig curve, for an example, this paper applies associative rational points and then evaluates the efficiency by some experiments.

AB - Pollard's Rho method is well-known as a method for solving Elliptic Curve Discrete Logarithm Problem (ECDLP). It is based on an efficient random walk of rational points on elliptic curve. This research accelerates the random walk with associative rational points. Since associative rational points are generated with a small additional cost and thus the random walk becomes more efficient. In order to solve an ECDLP over Barreto-Naehrig curve, for an example, this paper applies associative rational points and then evaluates the efficiency by some experiments.

UR - http://www.scopus.com/inward/record.url?scp=84922875337&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84922875337&partnerID=8YFLogxK

U2 - 10.1109/ISCIT.2014.7011933

DO - 10.1109/ISCIT.2014.7011933

M3 - Conference contribution

AN - SCOPUS:84922875337

SN - 9781479944163

SP - 366

EP - 367

BT - 14th International Symposium on Communications and Information Technologies, ISCIT 2014

PB - Institute of Electrical and Electronics Engineers Inc.

ER -