ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Wed, 18 Apr 2018 13:01:53 +0200Element to sequence in field extensionhttps://ask.sagemath.org/question/42039/element-to-sequence-in-field-extension/I have constructed a big prime field:
p = 68235916425158872634653027
F = GF(p)
And then I make two extension fields
E1 = GF(p^2)
E2 = GF(p^6)
It is obvious that `E2` is a field extension of `E1`.
Now how can I express the element in `E2` with the basis in `E1`.Mon, 16 Apr 2018 09:02:26 +0200https://ask.sagemath.org/question/42039/element-to-sequence-in-field-extension/Comment by B r u n o for <p>I have constructed a big prime field:</p>
<pre><code>p = 68235916425158872634653027
F = GF(p)
</code></pre>
<p>And then I make two extension fields</p>
<pre><code>E1 = GF(p^2)
E2 = GF(p^6)
</code></pre>
<p>It is obvious that <code>E2</code> is a field extension of <code>E1</code>.
Now how can I express the element in <code>E2</code> with the basis in <code>E1</code>.</p>
https://ask.sagemath.org/question/42039/element-to-sequence-in-field-extension/?comment=42085#post-id-42085First note that your `p` is not prime... You can find useful information in this [related question](https://ask.sagemath.org/question/9604/).Wed, 18 Apr 2018 11:55:48 +0200https://ask.sagemath.org/question/42039/element-to-sequence-in-field-extension/?comment=42085#post-id-42085Comment by slelievre for <p>I have constructed a big prime field:</p>
<pre><code>p = 68235916425158872634653027
F = GF(p)
</code></pre>
<p>And then I make two extension fields</p>
<pre><code>E1 = GF(p^2)
E2 = GF(p^6)
</code></pre>
<p>It is obvious that <code>E2</code> is a field extension of <code>E1</code>.
Now how can I express the element in <code>E2</code> with the basis in <code>E1</code>.</p>
https://ask.sagemath.org/question/42039/element-to-sequence-in-field-extension/?comment=42086#post-id-42086Note: also asked on sage-support:
- [2018-04-16, sage-support: scalar restriction in extension field](https://groups.google.com/d/topic/sage-support/m60g-LrIQsc/discussion)Wed, 18 Apr 2018 13:01:53 +0200https://ask.sagemath.org/question/42039/element-to-sequence-in-field-extension/?comment=42086#post-id-42086