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<p>&nbsp;<p>
<hr noshade size="5">
<h2><a name="FFEltToList"></a>
FFEltToList
</h2>

Returns a basis representation of a finite field element.

<p><p>

<h3>
Syntax:
</h3>
<pre>L := FFEltToList(b);
L := FFEltToList(b, k);</pre>

<p>

<table>
<tr>
<td>finite field element</td>
<td><pre>  b  </pre></td>
<td></td>
</tr>
<tr>
<td>subfield</td>
<td><pre>  k  </pre></td>
<td></td>
</tr>
<tr>
<td>list</td>
<td><pre>  L  </pre></td>
<td></td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#FFGenerator">FFGenerator</a>

<p>

<h3>
Description:
</h3>
Let F/k be an extension of finite fields of degree d and
a be a generator as returned by <tt> FFGenerator()</tt>. Then
1, a,  &hellip; , a^{d-1} is a k-basis for F. The function
returns a list of the coefficients of an element b \in F
with respect to the powers of a. If k is omitted in the
function call, it is assumed to be the base field.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>

<pre>

kash> F125 := FF(5, 3);
Finite field of size 5^3
kash> a := FFGenerator(F125);
w
kash> FFEltToList(1 + 2*a + 3*a^2);
> [ 1, 2, 3 ]

</pre>

<p>


<hr>

<p>
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