Course notes (chap. 1 Number Theory, chap. 2 ... - McGill University
Course notes (chap. 1 Number Theory, chap. 2 ... - McGill University
Course notes (chap. 1 Number Theory, chap. 2 ... - McGill University
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F 2<br />
x +1 x 9 + x 4 +1<br />
x 2 + x +1 x 10 + x 3 +1<br />
x 3 + x +1 x 11 + x 2 +1<br />
x 4 + x +1 x 12 + x 6 + x 4 + x +1<br />
x 5 + x 2 +1 x 13 + x 4 + x 3 + x +1<br />
x 6 + x +1 x 14 + x 10 + x 6 + x +1<br />
x 7 + x 3 +1 x 15 + x +1<br />
x 8 + x 4 + x 3 + x 2 +1 x 16 + x 12 + x 3 + x +1<br />
Figure 1: Irreducible polynomials over F 2 .<br />
F 3 F 5 F 7<br />
x +1 x +1 x +1<br />
x 2 + x +2 x 2 + x +2 x 2 + x +3<br />
x 3 +2x +1 x 3 +3x +2 x 3 +3x +2<br />
x 4 + x +2 x 4 + x 2 + x +2<br />
x 5 +2x +1<br />
x 6 + x +2<br />
Figure 2: Irreducible polynomials over F 3 ,F 5 ,F 7 .
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