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SYMMETRIC CRYPTOSYSTEMS Symmetric Cryptosystems 6/05/2014 | pag. 2.

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Presentation on theme: "SYMMETRIC CRYPTOSYSTEMS Symmetric Cryptosystems 6/05/2014 | pag. 2."— Presentation transcript:

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2 SYMMETRIC CRYPTOSYSTEMS Symmetric Cryptosystems 6/05/2014 | pag. 2

3 Block Ciphers Symmetric Cryptosystems 6/05/2014 | pag. 3

4 Block Ciphers: Modes of Use Cryptography 6/05/2014 | pag. 4 ECB: Electronic Codebook CBC: Cipherblock Chaining CFB: Cipher Feedback OFB: Output Feedback

5 Block Ciphers: Classical examples Symmetric Cryptosystems 6/05/2014 | pag. 5 Affine Cipher Affine Linear and Linear Cipher Vigenère Hill We first need some linear algebra!

6 Intermezzo: Greatest Common Divisor Symmetric Cryptosystems 6/05/2014 | pag. 6

7 Intermezzo: Greatest Common Divisor Symmetric Cryptosystems 6/05/2014 | pag. 7

8 Intermezzo: Greatest Common Divisor Symmetric Cryptosystems 6/05/2014 | pag. 8

9 Intermezzo: Greatest Common Divisor Symmetric Cryptosystems 6/05/2014 | pag. 9

10 Intermezzo: Greatest Common Divisor Cryptography 6/05/2014 | pag. 10

11 Intermezzo: Euclidean Algorithm Cryptography 6/05/2014 | pag. 11

12 Intermezzo: Euclidean Algorithm Cryptography 6/05/2014 | pag. 12

13 Intermezzo: Euclidean Algorithm Cryptography 6/05/2014 | pag. 13

14 Intermezzo: Extended Euclidean Algorithm Cryptography 6/05/2014 | pag. 14

15 Intermezzo: Extended Euclidean Algorithm Cryptography 6/05/2014 | pag. 15

16 Intermezzo: Extended Euclidean Algorithm Cryptography 6/05/2014 | pag. 16

17 Intermezzo: Invertible Elements in a Residue Class Ring Cryptography 6/05/2014 | pag. 17

18 Intermezzo: Invertible Elements in a Residue Class Ring Cryptography 6/05/2014 | pag. 18

19 Affine Cipher Symmetric Cryptosystems 6/05/2014 | pag. 19

20 Example: Affine Cipher Symmetric Cryptosystems 6/05/2014 | pag. 20

21 Example: Cryptanalysis of the Affine Cipher Symmetric Cryptosystems 6/05/2014 | pag. 21

22 Example: Cryptanalysis of the Affine Cipher Symmetric Cryptosystems 6/05/2014 | pag. 22

23 Intermezzo: Matrices over Rings Cryptography 6/05/2014 | pag. 23

24 Intermezzo: Invertible Matrices Cryptography 6/05/2014 | pag. 24

25 Intermezzo: Invertible Matrices Cryptography 6/05/2014 | pag. 25

26 Intermezzo: Invertible Matrices Cryptography 6/05/2014 | pag. 26

27 Intermezzo: Invertible Matrices Cryptography 6/05/2014 | pag. 27

28 Intermezzo: Affine Linear Functions Cryptography 6/05/2014 | pag. 28

29 Intermezzo: Affine Linear Functions Cryptography 6/05/2014 | pag. 29

30 Affine Linear Cipher Cryptography 6/05/2014 | pag. 30

31 Affine Linear Cipher Cryptography 6/05/2014 | pag. 31


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