A Consideration of an Efficient Arithmetic Over the Extension Field of Degree 3 for Elliptic Curve Pairing Cryptography
Xin Yan Li, Yuta Kodera, Yoshinori Uetake, Takuya Kusaka, Yasuyuki Nogami · 2018
This paper presents an efficient arithmetic in extension field based on Cyclic Vector Multiplication Algorithm that reduces calculation costs over cubic extension for elliptic curve pairing cryptography. In addition, we evaluate the calculation costs compared to Karatsuba-based method.