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Laman - 4 years ago 2020-12-18 12:30:43

updated performance.md
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performance.md
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@@ -3,7 +3,7 @@
 

	
 
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>
 
@@ -36,4 +36,28 @@ Benchmark results. The times for split a
 
        <td>0.00741</td>
 
        <td>0.00156</td>
 
    </tr>
 
</table>
 
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    <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
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# GNU GPLv3, see LICENSE
 

	
 
import math
 
import cmath
 
import itertools
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