Improvement of Final exponentiation for pairings on BLS curves with embedding degree 15

Yuki Nanjo, Masaaki Shirase, Takuya Kusaka, Yasuyuki Nogami

Research output: Contribution to journalArticlepeer-review

Abstract

To be suitable in practice, pairings are typically carried out by two steps, which consist of the Miller loop and final exponentiation. To improve the final exponentiation step of a pairing on the BLS family of pairing-friendly elliptic curves with embedding degree 15, the authors provide a new representation of the exponent. The proposal can achieve a more reduction of the calculation cost of the final exponentiation than the previous method by Fouotsa et al.

Original languageEnglish
Pages (from-to)315-318
Number of pages4
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Volume104
Issue number1
DOIs
Publication statusPublished - Jan 1 2021

Keywords

  • BLS curves
  • Final exponentiation
  • Pairing-based cryptography

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics

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