From a4ac5d2645e0abba821be2529be1beac4e72d34f Mon Sep 17 00:00:00 2001
From: Denis Monnerat <monnerat@u-pec.fr>
Date: Tue, 1 Apr 2025 10:12:32 +0200
Subject: [PATCH] sujet

---
 ctrlm/README.md           | 100 ++++++++++
 ctrlm/idea.png            | Bin 0 -> 19202 bytes
 ctrlm/merkle-damgaard.png | Bin 0 -> 60590 bytes
 ctrlm/merkle.svg          | 410 ++++++++++++++++++++++++++++++++++++++
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 create mode 100644 ctrlm/README.md
 create mode 100644 ctrlm/idea.png
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 create mode 100644 ctrlm/merkle.svg

diff --git a/ctrlm/README.md b/ctrlm/README.md
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+++ b/ctrlm/README.md
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+# Contrôle sur machine R4.B.10
+## Consignes
+
+Les  seuls documents  papier autorisés  sont vos  notes de  cours et  de travaux
+pratiques. Les documents électroniques autorisés sont les documents présents sur
+les machines de l'IUT et dont vous êtes l'unique auteur (ainsi que les éventuels
+documents de cours). En dehors de la  machine qui vous est attribuée et de votre
+matériel de  composition (crayons, stylos,  feuilles de brouillon,  etc.), aucun
+matériel n'est autorisé.
+
+L'épreuve compte 3 exercices. Vous  créerez un repertoire cntr_R4.B.10, avec les.
+3 sous-repertoires  ex1, ex2  et ex3. 
+
+À  la fin de  l'épreuve, vous  rendrez une. archive compréssée (tar.gz) [ici](https://iut-fbleau.fr/site/site/DEVOIR/). 
+
+# Exercice 1
+On construit une fonction de hachage appelée Toy Tetragraph Hash (TTH) qui travaille sur
+l'alphabet {A, ..., Z}. Étant donnée une suite de lettres, TTH fournit une empreinte sous la forme
+d’une suite de 4 lettres dont l'équivalent numérique modulo 26 s’appelle Total. Il a pour valeur
+initiale (IV) qui vaut (0, 0, 0, 0).
+
+On utilisera l’encodage usuel de l’alphabet (A<->0,B<->1, ..., Z<->25). L'algorithme utilise la construction générale
+de Merkle-Damgård.
+<div align="center">
+<img src="./merkle-damgaard.png">
+</div>
+
+**Iniatilsation**
+
+TTH scinde le message en blocs de 16 lettres en ignorant les espaces et la ponctuation. Si la longueur du message 
+n'est pas un multiple de 16, on bourre avec la caractère A (0). La valeur initiale de Total est (0,0,0,0).
+
+**Itération**
+
+On applique une fonction de compression C au bloc courant :
+
+- on arrange les 16 lettres en un tableau 4x4 en arrageant les lettres (encodées) ligne par ligne.
+- on calcule la somme de chaque colonne modulo 26, et on ajoute (modulo 26) à la valeur de Total correspondant
+  à l'indice de la colonne.
+
+- on applique au tableau 
+	- une permutation circulaire d'une position vers la gauche de la première ligne,
+	- une permutation circulaire de deux positions vers la gauche de la deuxième ligne,
+	- une permutation circulaire de trois positions vers la gauche de la troisième ligne,
+	- une inversion de la dernière ligne.
+- on calcule à nouveau la somme modulo 26 de chaque colonne et on l'ajoute (modulo 26) à la valeur de Total.
+- cette nouvelle valeur de Total constitue l'entrée de la fonction de compression pour le bloc suivant.
+
+**Travail demandé**
+
+Écrire en C un programme qui prend en argument un nom de fichier (texte, en majuscule), et qui calcule et affiche son empreinte TTH.
+
+la hash du message 
+> LE HACHAGE AVEC TTH EST FACILE !
+
+est 
+
+> QQWC
+
+**Bonus**
+
+Pour ceux qui ont des souvenirs du cours de proba, en utilisant le paradoxe des anniversaires, donnez le nombre de messages à considérer pour avoir plus d'une chance sur deux de trouver une collision pour TTH.
+
+
+**Aide**
+
+
+```c
+/* fonctions utiles */
+#include <ctype.h>
+int isupper(int c);
+
+char c = 'R';
+
+c-'A'; /* ?? */ 
+
+char l = 10;
+
+l + 'A'; /* ?? */
+```
+
+# Exercice 2
+Le schéma IDEA est basé sur une variante du mécanisme de Feistel, dont la fonction de tour (on
+ignore ici l’addition des sous-clés) est décrite ci-dessous (l'opérateur rouge représente le "ou exclusif") :
+<div align="center">
+<img src="./idea.png">
+</div>
+
+1. Montrer que ce schéma  est inversible quelle que soit la fonction F et donner les formules décrivant le déchiffrement. 
+
+2. Est-ce utile de refaire un tour, avec la même fonction F ? pourquoi ? 
+
+# Exercice 3
+
+Générez, avec openssl, une clé RSA.  Exportez sa partie publique dans le fichier `key.pub`.
+
+Créez un  fichier me.txt,  avec vos  nom, prénom, groupe,  ainsi que  toutes les
+commandes (précises) que vous avez utilisées pour cet exercice.
+
+Signez me.txt avec  votre clé privée (on utilisera pour le hachage  sha256) dans le fichier signature.
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