Changeset - 3c3a529119dd
[Not reviewed]
default
0 2 0
Laman - 4 years ago 2020-12-18 12:30:43

updated performance.md
2 files changed with 28 insertions and 2 deletions:
0 comments (0 inline, 0 general)
performance.md
Show inline comments
 
# Performance comparison #
 
## The base case ##
 

	
 
Let's assume we have a secret of length _m_. The splitting takes _n_ evaluations of a polynomial of order _k_ (over Galois field 256) for each byte, leading to _O(n\*k\*m)_ finite field multiplications. Reconstruction of the constant parameters during joining first precomputes parts of the Lagrange polynomial and then reuses them for each byte, taking _O(k\*k + k\*m)_ multiplications.
 

	
 
Benchmark results. The times for split and join mean _seconds per byte_ of the secret length:
 
Benchmark results. Measured on a mid-end laptop made in 2020. The times for split and join mean _seconds per byte_ of the secret length:
 
<table>
 
    <tr>
 
        <th>Revision</th>
 
        <th>Features</th>
 
        <th>k / n parameters</th>
 
        <th>Split</th>
 
@@ -33,7 +33,31 @@ Benchmark results. The times for split a
 
    </tr>
 
    <tr>
 
        <td>254 / 254</td>
 
        <td>0.00741</td>
 
        <td>0.00156</td>
 
    </tr>
 
</table>
 
\ No newline at end of file
 
    <tr>
 
        <td rowspan="2">0957647049ef</td>
 
        <td rowspan="2">splitting with FFT</td>
 
        <td>2 / 3</td>
 
        <td>1.26e-05</td>
 
        <td>-</td>
 
    </tr>
 
    <tr>
 
        <td>254 / 254</td>
 
        <td>0.00828</td>
 
        <td>-</td>
 
    </tr>
 
    <tr>
 
        <td rowspan="2">d5f60adc56c0</td>
 
        <td rowspan="2">splitting with FFT,<br> caching gfmul(), gfpow(), precompute_x()</td>
 
        <td>2 / 3</td>
 
        <td>7.88e-06</td>
 
        <td>-</td>
 
    </tr>
 
    <tr>
 
        <td>254 / 254</td>
 
        <td>0.00183</td>
 
        <td>-</td>
 
    </tr>
 
</table>
src/shamira/fft.py
Show inline comments
 
# GNU GPLv3, see LICENSE
 

	
 
import math
 
import cmath
 
import itertools
 
from functools import cache
 

	
 
from .gf256 import gfmul, gfpow
0 comments (0 inline, 0 general)