tc balıkesir üniversitesi fen bilimleri enstitüsü matematik anabilim ...
tc balıkesir üniversitesi fen bilimleri enstitüsü matematik anabilim ...
tc balıkesir üniversitesi fen bilimleri enstitüsü matematik anabilim ...
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2 3 2<br />
EK C : “ y = x − 1 x(mod 17)<br />
EĞRİSİ ÜZERİNDEKİ NOKTALAR, BU<br />
NOKTALARIN KUVVETLERİ VE MERTEBELERİ”<br />
x y MOD n MERT. KUV. x y x y x y x y x y x y x y x y x y x y x y x y x y x y x y<br />
0 0 17 -1 2 1 0 0 1 0 4 3 4 14 5 1 5 16 7 8 7 9 10 2 10 15 12 4 12 13 13 5 13 12 16 0<br />
1 0 17 -1 2 2 0 0 0 0 16 0 16 0 1 0 1 0 16 0 16 0 1 0 1 0 0 0 0 0<br />
4 3 17 -1 4 3 4 14 4 3 5 16 5 1 7 9 7 8 10 15 10 2 12 13 12 4 13 12 13 5<br />
4 14 17 -1 4<br />
5 1 17 -1 4<br />
5 16 17 -1 4<br />
7 8 17 -1 4<br />
7 9 17 -1 4<br />
10 2 17 -1 4<br />
10 15 17 -1 4<br />
12 4 17 -1 4<br />
12 13 17 -1 4<br />
13 5 17 -1 4<br />
13 12 17 -1 4<br />
16 0 17 -1 2<br />
E 17<br />
16<br />
15<br />
14<br />
13<br />
12<br />
11<br />
10<br />
9<br />
8<br />
7<br />
6<br />
5<br />
4<br />
3<br />
2<br />
1<br />
4, 14<br />
4, 3<br />
5, 16<br />
5, 1<br />
x^3 - x (mod 17)<br />
7, 9<br />
7, 8<br />
0 0, 0, 0<br />
0<br />
1, 0<br />
16, 16, 16, 0 0<br />
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16<br />
E17 81<br />
10, 15<br />
10, 2<br />
12, 13<br />
12, 4<br />
13, 12<br />
13, 5