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Improvement of Final Exponentiation for Pairings on BLS Curves with Embedding Degree 15
Yuki NANJO Masaaki SHIRASE Takuya KUSAKA Yasuyuki NOGAMI
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2021/01/01
Online ISSN: 1745-1337
Type of Manuscript: LETTER
Category: Cryptography and Information Security
pairing-based cryptography, BLS curves, final exponentiation,
Full Text: FreePDF(229.1KB)
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.