## 抄録

Barreto-Naehrig (BN) curve is a well studied pairing friendly curve of embedding degree 12, that uses arithmetic in Fp12 . Therefore the arithmetic of Fp12 extension field is well studied. In this paper, we have proposed an efficient approach of arithmetic operation over the extension field of degree 18 by towering. Fp18 extension field arithmetic is considered to be the basis of implementing the next generation pairing based security protocols. We have proposed to use Fp element to construct irreducible binomial for building tower of extension field up to Fp6 , where conventional approach uses the root of previous irreducible polynomial to create next irreducible polynomials. Therefore using Fp elements in irreducible binomial construction, reduces the number of multiplications in Fp to calculate inversion and multiplication over Fp18 , which effects acceleration in total arithmetic operation over Fp18 .

本文言語 | English |
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ホスト出版物のタイトル | 19th International Conference on Computer and Information Technology, ICCIT 2016 |

出版社 | Institute of Electrical and Electronics Engineers Inc. |

ページ | 276-281 |

ページ数 | 6 |

ISBN（電子版） | 9781509040896 |

DOI | |

出版ステータス | Published - 2月 21 2017 |

イベント | 19th International Conference on Computer and Information Technology, ICCIT 2016 - Dhaka 継続期間: 12月 18 2016 → 12月 20 2016 |

### Other

Other | 19th International Conference on Computer and Information Technology, ICCIT 2016 |
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国/地域 | Bangladesh |

City | Dhaka |

Period | 12/18/16 → 12/20/16 |

## ASJC Scopus subject areas

- コンピュータ サイエンス（全般）