# 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:

<table>

    <tr>

        <th>Revision</th>

        <th>Features</th>

        <th>k / n parameters</th>

        <th>Split</th>

        <th>Join</th>

    </tr>

    <tr>

        <td rowspan="2">a47ae3e113cc</td>

        <td rowspan="2">-</td>

        <td>2 / 3</td>

        <td>5.02e-06</td>

        <td>4.12e-05</td>

    </tr>

    <tr>

        <td>254 / 254</td>

        <td>0.0125</td>

        <td>0.00175</td>

    </tr>

</table>