second degree irreducible polynomial over extension field

asked 2016-07-23 05:51:30 -0500

santoshi gravatar image

the given field is f_2^3 having third degree irreducible polynomial x^3+x+1 . if theta is a root of irreducible polynomial the field elements are {0,1,theta,theta^2,theta^3,theta^4,theta^5,theta^6}.

my question is i want second degree irreducible polynomial over f_{2^3}^2.

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Comments

I don't follow what you are asking for. Could you please clarify?

jaebond gravatar imagejaebond ( 2016-07-25 22:22:10 -0500 )edit

I presume the question is about how to build a quadratic extension of GF(8) explicitly.

Dima gravatar imageDima ( 2016-07-28 03:08:22 -0500 )edit