Element to sequence in field extension

asked 2018-04-16 02:02:26 -0500

Fanxuejun gravatar image

updated 2018-04-16 07:17:54 -0500

slelievre gravatar image

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.

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First note that your p is not prime... You can find useful information in this related question.

B r u n o gravatar imageB r u n o ( 2018-04-18 04:55:48 -0500 )edit
slelievre gravatar imageslelievre ( 2018-04-18 06:01:53 -0500 )edit