Tower Building Technique on Elliptic Curve with Embedding Degree 72
Ismail Assoujaa, Siham Ezzouak, Hakima Mouanis · WSEAS TRANSACTIONS ON COMPUTER RESEARCH · 2022
Pairing based cryptography is one of the newest security solution that attract a lot of attention, because we can work with efficient and faster pairing to make the security a lot practical, also the working with extension finite field of the form F p k is more useful and secure with k ≥ 12 the implementation become more important.In this paper, we will presents cases studies of improving pairing arithmetic calculation on curves with embedding degree 72.We use the tower building technique, and study the case when using a degree 2 or 3 twist to carry out most operations in F p 4 , F p 6 , F p 8 , F p 9 , F p 12 , F p 18 , F p 24 , F p 36 and F p 72 .