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Sagot :

Réponse :

Explications étape par étape

Bonjour

A => 0 => 7 * 0 + 5 = 5 => F

B => 1 => 7 * 1 + 5 = 12 => M

C => 2 => 7 * 2 + 5 = 19 => T

D => 3 => 7 * 3 + 5 = 26 = 1 x 26 + 0 => 0 => A

E => 4 => 7 * 4 + 5 = 33 = 26 + 7 => 7 => H

F => 5 => 7 * 5 + 5 = 40 = 26 + 14 => 14 => O

G => 6 => 7 * 6 + 5 = 47 = 26 + 21 => 21 => V

H => 7 => 7 * 7 + 5 = 54 = 2 x 26 + 2 => 2 => C

I => 8 => 7 * 8 + 5 = 61 = 2 x 26 + 9 => 9 => J

J => 9 => 7 * 9 + 5 = 68 = 2 x 26 + 16 => 16 => Q

K => 10 => 7 * 10 + 5 = 75 = 2 x 26 + 23 => 23 => X

L => 11 => 7 * 11 + 5 = 82 = 3 x 26 + 4 => 4 => E

M => 12 => 7 * 12 + 5 = 89 = 26 x 3 + 11 => 11 => L

N => 13 => 7 * 13 + 5 = 96 = 3 x 26 + 18 => 18 => S

O => 14 => 7 * 14 + 5 = 103 = 3 x 26 + 25 => 25 => Z

P => 15 => 7 * 15 + 5 = 110 = 4 x 26 + 6 => 6 => G

Q => 16 => 7 * 16 + 5 = 117 = 4 x 26 + 13 => 13 => N

R => 17 => 7 * 17 + 5 = 124 = 4 x 26 + 20 => 20 => U

S => 18 => 7 * 18 + 5 = 131 = 5 x 26 + 1 => 1 => B

T => 19 => 7 * 19 + 5 = 138 = 5 x 26 + 8 => 8 => I

U => 20 => 7 * 20 + 5 = 145 = 5 x 26 + 15 => 15 => P

V => 21 => 7 * 21 + 5 = 152 = 5 x 26 + 22 => 22 => W

W => 22 => 7 * 22 + 5 = 159 = 6 x 26 + 3 => 3 => D

X => 23 => 7 * 23 + 5 = 166 = 6 x 26 + 10 => 10 => K

Y => 24 => 7 * 24 + 5 = 173 = 6 x 26 + 17 => 17 => R

Z => 25 => 7 * 25 + 5 = 180 = 6 x 26 + 24 => 24 => Y

b) crypter le mot CODE :

TZAH

c) décrypter :

OZSTIJZS FOOJSH

FONCTION AFFINE

2) g(x) = 2x + 3

a) coder le mot ANNÉE :

2 * 0 + 3 = 3 => D

2 * 13 + 3 = 26 + 3 => 3 => D

2 * 13 + 3 = 26 + 3 => 3 => D

2 * 4 + 3 = 11 => L

2 * 4 + 3 = 11 => L

On remarque que À et N représente là même lettre cryptée donc incorrecte

Donc il est impossible d’utiliser cette fonction affine pour crypter un code

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