View the step-by-step solution to:

If E = F2[ x ]/( p ( x )), where p ( x ) = x^ 3 + x + 1, then E is a field with 8 elements.

If E = F2[x]/(p(x)), where p(x) = x^3 + x + 1, then E is a field with 8 elements. Show that a root π of p(x) is a primitive element of E by writing every nonzero element of E as a power of π.

Recently Asked Questions

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

-

Educational Resources
  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question