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title: 3. Symmetric Key Encryption
date: 2023-09-19
github_title: 2023-09-19-symmetric-key-encryption
attachment:
folder: assets/img/posts/lecture-notes/internet-security
---
## CPA Security
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### Electronic Codebook Mode (ECB)
![is-03-ecb-encryption.png](../../../assets/img/posts/is-03-ecb-encryption.png)
![is-03-ecb-encryption.png](../../../assets/img/posts/lecture-notes/internet-security/is-03-ecb-encryption.png)
- ECB mode encrypts each block with the same key.
- Blocks are independent of each other.
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### Ciphertext Block Chain Mode (CBC)
![is-03-cbc-encryption.png](../../../assets/img/posts/is-03-cbc-encryption.png)
![is-03-cbc-encryption.png](../../../assets/img/posts/lecture-notes/internet-security/is-03-cbc-encryption.png)
Let $X = \left\lbrace 0, 1 \right\rbrace^n$ and $E : \mathcal{K} \times X \rightarrow X$ be a **PRP**.
@@ -191,7 +193,7 @@ Note that if $k_1$ is the same as the key used for encrypting messages, then thi
### Counter Mode (CTR)
![is-03-ctr-encryption.png](../../../assets/img/posts/is-03-ctr-encryption.png)
![is-03-ctr-encryption.png](../../../assets/img/posts/lecture-notes/internet-security/is-03-ctr-encryption.png)
Let $F : \mathcal{K} \times X \rightarrow X$ be a secure **PRF**.