First commit

2026-01-11 09:19:22 +01:00
commit 50f7b1159e
108 changed files with 11791 additions and 0 deletions
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+#!/usr/bin/env python3
+
+from Cryptotools.Groups.galois import Galois
+import matplotlib.pyplot as plt # pip install numpy==1.26.4
+
+
+def operation(a, b, n):
+    return (a ** b) % n
+
+q = 13
+g = Galois(q, operation)
+add = g.add()
+div = g.div()
+mul = g.mul()
+sub = g.sub()
+g.check_closure_law('+')
+g.check_closure_law('*')
+g.check_closure_law('-')
+g.check_closure_law('/')
+
+print("Addition")
+g.printMatrice(add)
+print("Division")
+g.printMatrice(div)
+print("Multiplication")
+g.printMatrice(mul)
+print("Substraction")
+g.printMatrice(sub)
+
+
+print("Primitives root")
+print(g.primitiveRoot(), end="\n\n")
+
+#print("Identity elements")
+g.check_identity_add()
+g.check_identity_mul()