Name
Abstract | ||
|---|---|---|
This paper considers the normalization of Miller functions for computing "point-evaluation" pairings on an elliptic curve E over a finite field F-q, where the characteristic of F-q is neither 2 nor 3. It is shown that the normalized Miller functions for computing point-evaluation pairings on G(2) X G(1) when (i) the embedding degree k is even, or (ii) 3 vertical bar k and E/F-q(q equivalent to 1 (mod 3)) is a curve of the form Y-2 = X-3 + b. Thus, there is no need to consider the normalization for computing pairings on many pairing-friendly elliptic curves. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1587/transfun.E95.A.196 | IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES |
Keywords | Field | DocType |
pairing, Miller's algorithm, rational functions, normalization | Discrete mathematics,Normalization (statistics),Pairing,Miller,Rational function,Mathematics,Computation | Journal |
Volume | Issue | ISSN |
E95A | 1 | 0916-8508 |
Citations | PageRank | References |
2 | 0.37 | 10 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Naoki Ogura | 1 | 12 | 4.05 |
| Shigenori Uchiyama | 2 | 371 | 40.90 |
| Naoki Kanayama | 3 | 139 | 19.29 |
| eiji okamoto | 4 | 1009 | 118.60 |