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Unformatted text preview: From Section 3 of the lecture notes: 1. (15 pts) Find the splitting ﬁelds over Z 2 for the following polynomials: (a) x 2 + x + 1 (b) x 2 + 1 (c) x 3 + x + 1 (d) x 3 + x 2 + 1 2. (5 pts) Find the splitting ﬁeld for x p-x over Z p . 3. (5 pts) Show that if F is an extension ﬁeld of K of degree 2, then F is the splitting ﬁeld over K for some polynomial....
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This note was uploaded on 06/13/2011 for the course CRYPTO 101 taught by Professor Na during the Spring '11 term at Harding.
- Spring '11