Monday, 23 September 2013

abstract algebra - Explicit construction of a finite field with 8 elements


Give an explicit contruction of the finite field K containing 8 elements, as a quotient of an appropriate polynomial ring. Include the multiplication table of the group K=K{0}, and write K=α for some αK.




I have no idea how to approach this problem. Can anyone guide me in the right direction? Thanks.

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