From 131e9a1c3faa4f14d5e31dcd23b8f567e2ccacdb Mon Sep 17 00:00:00 2001
From: fram3d <fram3d@dmz.rs>
Date: Mon, 21 Oct 2024 16:08:57 +0200
Subject: [PATCH] add algebera slides and link to decentrala slide

---
 slides/algebragrupe/algebragrupe.md       |  65 ++++++++++++++++++++++
 slides/stajedecentrala/qrcode.png         | Bin 0 -> 5788 bytes
 slides/stajedecentrala/stajedecentrala.md |   9 +--
 3 files changed, 70 insertions(+), 4 deletions(-)
 create mode 100644 slides/algebragrupe/algebragrupe.md
 create mode 100644 slides/stajedecentrala/qrcode.png

diff --git a/slides/algebragrupe/algebragrupe.md b/slides/algebragrupe/algebragrupe.md
new file mode 100644
index 0000000..908ed24
--- /dev/null
+++ b/slides/algebragrupe/algebragrupe.md
@@ -0,0 +1,65 @@
+---
+title:
+- Algebra (Grupe)
+
+theme:
+- Warsaw
+colortheme:
+- orchid
+---
+
+# Uvod
+- Skupovi
+    - Celi brojevi (beskonacni)
+    - Ostatci pre deljenju (konacne)
+- Operacije
+    - mnozenje (binarna)
+    - negacija (unarna)
+
+# Grupe
+- Rezlutat ostaje unutar skupa
+- Neutral
+- Inverz
+- Asocijativnost
+- Abelove grupe (komutativnost)
+- Ciklicne grupe (ostatak pri deljenju)
+
+# Podgrupe
+- Celi/Racionalni brojevi
+- Red grupe
+- Red podgrupe deli red grupe
+
+# Kriptografija
+- Skup poruka m odredjene velicine
+- Operacija sifrovanja/potpisivanja $\oplus$
+    - jednosmerna (kao i hash funkcije)
+- Neutral (e)
+- Inverz kljuceva (k1, k2)
+    - $k1 \oplus k2 \equiv e$
+- Sifrovanje/Potpisivanje ( $c \equiv m \oplus k1$ )
+- Desifovanje/Provera ( $c \oplus k1 \equiv m$ )
+- Asocijativnost
+    - $c \oplus k2 \equiv (m \oplus k1) \oplus k2 \equiv m \oplus (k1 \oplus k2)$
+    - $m \oplus (e) \equiv m$
+
+# Kljucevi
+- Jedan kljuc (simetricna)
+    - $k1 \equiv k2$
+    - $1 \oplus 1 \equiv 0 \mod 2$ (komplement)
+- Dva kljuca (asimetricna)
+    - $2+3 \equiv 0 \mod 5$
+
+# Razmena kljuceva
+![Diffie–Hellman](slides/rsa/dhke.png)
+
+# Razmena kljuceva
+- Diffie–Hellman (DH)
+    - parametri (g,n,...)
+    - Abelova grupa (komutativnost)
+    - $g \oplus a \oplus b \equiv g \oplus b \oplus a$
+    - $(g \oplus a) \oplus b \equiv (g \oplus b) \oplus a$
+    - $A \oplus b \equiv B \oplus a$
+
+# Sifrovanje/Potpisivanje
+- Direktno sifrovanje (RSA)
+- DH + simetcina = asimetricna (EC)
diff --git a/slides/stajedecentrala/qrcode.png b/slides/stajedecentrala/qrcode.png
new file mode 100644
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diff --git a/slides/stajedecentrala/stajedecentrala.md b/slides/stajedecentrala/stajedecentrala.md
index 5e933ca..0908762 100644
--- a/slides/stajedecentrala/stajedecentrala.md
+++ b/slides/stajedecentrala/stajedecentrala.md
@@ -33,7 +33,8 @@ Ekipa koju interesuje :
 
 # Lokacije
 
-- DC Krov hacklab
-- KC Grad radionce
-- Matematicki Faklutet (cekamo)
-- Drugi fakulteti, skole?
+- DC Krov
+- KC Magacin
+
+# Kontakt
+![qrcode](slides/stajedecentrala/qrcode.png)