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| 18 | * If a later version of SEC2 comes out wherein some $a$ values are non-zero we can create a |
18 | * If a later version of SEC2 comes out wherein some $a$ values are non-zero we can create a |
| 19 | * new method for those. eg. KoblitzA1Prime.php or something. |
19 | * new method for those. eg. KoblitzA1Prime.php or something. |
| 20 | * |
20 | * |
| 21 | * PHP version 5 and 7 |
21 | * PHP version 5 and 7 |
| 22 | * |
22 | * |
| - | 23 | * @category Crypt |
|
| - | 24 | * @package EC |
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| 23 | * @author Jim Wigginton <terrafrost@php.net> |
25 | * @author Jim Wigginton <terrafrost@php.net> |
| 24 | * @copyright 2017 Jim Wigginton |
26 | * @copyright 2017 Jim Wigginton |
| 25 | * @license http://www.opensource.org/licenses/mit-license.html MIT License |
27 | * @license http://www.opensource.org/licenses/mit-license.html MIT License |
| 26 | * @link http://pear.php.net/package/Math_BigInteger |
28 | * @link http://pear.php.net/package/Math_BigInteger |
| 27 | */ |
29 | */ |
| Line 32... | Line 34... | ||
| 32 | use phpseclib3\Math\PrimeField; |
34 | use phpseclib3\Math\PrimeField; |
| 33 | 35 | ||
| 34 | /** |
36 | /** |
| 35 | * Curves over y^2 = x^3 + b |
37 | * Curves over y^2 = x^3 + b |
| 36 | * |
38 | * |
| - | 39 | * @package KoblitzPrime |
|
| 37 | * @author Jim Wigginton <terrafrost@php.net> |
40 | * @author Jim Wigginton <terrafrost@php.net> |
| - | 41 | * @access public |
|
| 38 | */ |
42 | */ |
| 39 | class KoblitzPrime extends Prime |
43 | class KoblitzPrime extends Prime |
| 40 | { |
44 | { |
| 41 | // don't overwrite setCoefficients() with one that only accepts one parameter so that |
45 | // don't overwrite setCoefficients() with one that only accepts one parameter so that |
| 42 | // one might be able to switch between KoblitzPrime and Prime more easily (for benchmarking |
46 | // one might be able to switch between KoblitzPrime and Prime more easily (for benchmarking |
| Line 45... | Line 49... | ||
| 45 | /** |
49 | /** |
| 46 | * Multiply and Add Points |
50 | * Multiply and Add Points |
| 47 | * |
51 | * |
| 48 | * Uses a efficiently computable endomorphism to achieve a slight speedup |
52 | * Uses a efficiently computable endomorphism to achieve a slight speedup |
| 49 | * |
53 | * |
| 50 | * Adapted from: |
54 | * Adapted from https://git.io/vxbrP |
| 51 | * https://github.com/indutny/elliptic/blob/725bd91/lib/elliptic/curve/short.js#L219 |
- | |
| 52 | * |
55 | * |
| 53 | * @return int[] |
56 | * @return int[] |
| 54 | */ |
57 | */ |
| 55 | public function multiplyAddPoints(array $points, array $scalars) |
58 | public function multiplyAddPoints(array $points, array $scalars) |
| 56 | { |
59 | { |