Name
Title | ||
|---|---|---|
Fast Ate Pairing Computation Of Embedding Degree 12 Using Subfield-Twisted Elliptic Curve |
Abstract | ||
|---|---|---|
This paper presents implementation techniques of fast Ate pairing of embedding degree 12. In this case, we have no trouble in finding a prime order pairing friendly curve E such as the Barreto-Naehrig curve y(2) = x(3) + a, a is an element of F-p. For the curve, an isomorphic substitution from G(2) is an element of E(F-p(12)) into G(2)'in subfield-twisted elliptic curve E'(F-p(2)) speeds up scalar multiplications over G(2) and wipes out denominator calculations in Miller's algorithm. This paper mainly provides about 30% improvement of the Miller's algorithm calculation using proper subfield arithmetic operations. Moreover, we also provide the efficient parameter settings of the BN curves. When p is a 254-bit prime, the embedding degree is 12, and the processor is Pentium4 (3.6 GHz), it is shown that the proposed algorithm computes Ate pairing in 13.3 milli-seconds including final exponentiation. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1587/transfun.E92.A.508 | IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES |
Keywords | Field | DocType |
Ate pairing, twist, subfield arithmetic operation, fast computing | Prime (order theory),Twist,Discrete mathematics,Combinatorics,Embedding,Pairing,Isomorphism,Exponentiation,Mathematics,Elliptic curve,Computation | Journal |
Volume | Issue | ISSN |
E92A | 2 | 0916-8508 |
Citations | PageRank | References |
15 | 0.82 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Masataka Akane | 1 | 32 | 2.51 |
| Yasuyuki Nogami | 2 | 146 | 52.44 |
| Yoshitaka Morikawa | 3 | 100 | 14.92 |