| Title | Improvement of Miller Loop for a Pairing on FK12 Curve and its Implementation |
| Publication Type | Conference Paper |
| Year of Publication | 2022 |
| Authors | Ikesaka, Kazuma, Nanjo, Yuki, Kodera, Yuta, Kusaka, Takuya, Nogami, Yasuyuki |
| Conference Name | 2022 Tenth International Symposium on Computing and Networking (CANDAR) |
| Date Published | nov |
| Keywords | Computational efficiency, cryptography, exponentiation, Hamming weight, human factors, Miller loop, Pairing based cryptography, pubcrawl, resilience, Resiliency, Scalability, STNFS |
| Abstract | Pairing is carried out by two steps, Miller loop and final exponentiation. In this manuscript, the authors propose an efficient Miller loop for a pairing on the FK12 curve. A Hamming weight and bit-length of loop parameter have a great effect on the computational cost of Miller loop. Optimal-ate pairing is used as the most efficient pairing on the FK12 curve currently. The loop parameter of optimal-ate pairing is 6z+2 where z is the integer to make the FK12 curve parameter. Our method uses z which has a shorter bit-length than the previous optimal-ate pairing as the loop parameter. Usually, z has a low Hamming weight to make final exponentiation efficient. Therefore, the loop parameter in our method has a lower Hamming weight than the loop parameter of the previous one in many cases. The authors evaluate our method by the number of multiplications and execution time. As a result, the proposed algorithm leads to the 3.71% reduction in the number of multiplications and the 3.38% reduction in the execution time. |
| DOI | 10.1109/CANDAR57322.2022.00021 |
| Citation Key | ikesaka_improvement_2022-1 |
Improvement of Miller Loop for a Pairing on FK12 Curve and its Implementation