diff --git a/.gitignore b/.gitignore
index 9b65602..89a11af 100644
--- a/.gitignore
+++ b/.gitignore
@@ -1,2 +1,3 @@
 cr/
 .venv/
+*.pdf
\ No newline at end of file
diff --git a/lib/__pycache__/arithmetics.cpython-313.pyc b/lib/__pycache__/arithmetics.cpython-313.pyc
index 006ef0f..c97630e 100644
Binary files a/lib/__pycache__/arithmetics.cpython-313.pyc and b/lib/__pycache__/arithmetics.cpython-313.pyc differ
diff --git a/lib/__pycache__/rsa.cpython-313.pyc b/lib/__pycache__/rsa.cpython-313.pyc
index 3ecd8ed..dcbd953 100644
Binary files a/lib/__pycache__/rsa.cpython-313.pyc and b/lib/__pycache__/rsa.cpython-313.pyc differ
diff --git a/lib/arithmetics.py b/lib/arithmetics.py
index 0ac78de..c561889 100644
--- a/lib/arithmetics.py
+++ b/lib/arithmetics.py
@@ -10,8 +10,10 @@ def modpow(a: int, b: int, m: int) -> int:
     return result
 
 def gcd(a: int, b: int) -> int:
+    # if b = 0 return a
     if b == 0:
         return a
+    # return gcd(b, a % b) because gcd(a, b) = gcd(b, rem(a, b))
     return gcd(b, a % b)
 
 def mod_inverse(A: int, M: int) -> int:
@@ -21,18 +23,13 @@ def mod_inverse(A: int, M: int) -> int:
     if (M == 1):
         return 0
     while (A > 1):
-        # q is quotient
         q = A // M
         t = M
-        # m is remainder now, process
-        # same as Euclid's algo
         M = A % M
         A = t
         t = y
-        # Update x and y
         y = x - q * y
         x = t
-    # Make x positive
     if (x < 0):
         x = x + m0
     return x
diff --git a/lib/rsa.py b/lib/rsa.py
index 0ae2a7c..e146730 100644
--- a/lib/rsa.py
+++ b/lib/rsa.py
@@ -1,8 +1,5 @@
 # Python RSA implementation
 
-import random
-import sys
-
 import lib.arithmetics as arithm
 import lib.miller_rabin as miller
 
@@ -16,15 +13,21 @@ def get_p_and_q(n: int) -> (int, int):
     return (p, q)
 
 def get_keys(l: int) -> int:
+    # Get p and q
     p, q = get_p_and_q(l // 2)
+    # Compute n and phy(n)
     n = p * q 
     phy_n = (p - 1) * (q - 1)
+    # Chose e = 65537
     e = 65537
+    # Ensure e fits with the others numbers
     while arithm.gcd(e, phy_n) != 1:
         p, q = get_p_and_q(l // 2)
         n = p * q 
         phy_n = (p - 1) * (q - 1)
+    # Compute d
     d = arithm.mod_inverse(e, phy_n)
+    # Return e, d and n
     return (e, d, n)
 
 def encrypt(m: int, e: int, n: int) -> int:
diff --git a/main.py b/main.py
index 4b8be63..552d479 100644
--- a/main.py
+++ b/main.py
@@ -9,6 +9,7 @@ LEN = BITS // 5
 def encode(text):
     sum = 0
     for i in range(len(text)):
+        # Codage de la chaîne en base 27
         sum += ALPH[text[i]] * 27 ** i
     return sum