Cryptography SYMMETRIC CRYPTOSYSTEMS Symmetric Cryptosystems 1272020 pag 2
- Slides: 51
Cryptography
SYMMETRIC CRYPTOSYSTEMS Symmetric Cryptosystems 12/7/2020 | pag. 2
Block Ciphers: Classical examples • Affine Cipher • Affine Linear and Linear Cipher • Vigenère • Hill We needed some linear algebra! Symmetric Cryptosystems 12/7/2020 | pag. 3
Affine Cipher Symmetric Cryptosystems 12/7/2020 | pag. 4
Example: Cryptanalysis of the Affine Cipher Symmetric Cryptosystems 12/7/2020 | pag. 5
Intermezzo: Matrices over Rings Cryptography 12/7/2020 | pag. 6
Intermezzo: Invertible Matrices Cryptography 12/7/2020 | pag. 7
Intermezzo: Invertible Matrices Cryptography 12/7/2020 | pag. 8
Intermezzo: Invertible Matrices Cryptography 12/7/2020 | pag. 9
Intermezzo: Invertible Matrices Cryptography 12/7/2020 | pag. 10
Intermezzo: Affine Linear Functions Cryptography 12/7/2020 | pag. 11
Intermezzo: Affine Linear Functions Cryptography 12/7/2020 | pag. 12
Affine Linear Cipher Cryptography 12/7/2020 | pag. 13
Affine Linear Cipher Cryptography 12/7/2020 | pag. 14
Example: Affine Linear Cipher - Vigenère Cryptography 12/7/2020 | pag. 15
Example: Linear Cipher - Hill Cryptography 12/7/2020 | pag. 16
Example: Linear Cipher – Permutation Cipher Cryptography 12/7/2020 | pag. 17
Cryptanalysis of the Affine Linear Cipher Symmetric Cryptosystems 12/7/2020 | pag. 18
Cryptanalysis of the Affine Linear Cipher Symmetric Cryptosystems 12/7/2020 | pag. 19
Cryptanalysis of the Affine Linear Cipher Symmetric Cryptosystems 12/7/2020 | pag. 20
Example: Cryptanalysis of the Affine Linear Cipher FUSS. Symmetric Cryptosystems 12/7/2020 | pag. 21
Block Ciphers: Remark Secure block ciphers must not be (affine) linear or easy to approximate by linear functions!!! Cryptography 12/7/2020 | pag. 22
Block Ciphers: Remark Implementation of a (non-linear!) substitution in a block cipher often occurs through a look-up table, called S-box. Cryptography 12/7/2020 | pag. 23
Block Ciphers: Advanced examples • DES – Feistel Cipher • AES – Rijndael Symmetric Cryptosystems 12/7/2020 | pag. 24
DES Cryptography 12/7/2020 | pag. 25
DES: Feistel Cipher An iterated block cipher is a block cipher involving the sequential repetition of an internal function called rounds. (iterated) Cryptography 12/7/2020 | pag. 26
DES: Feistel Cipher Cryptography 12/7/2020 | pag. 27
DES: Feistel Cipher Cryptography 12/7/2020 | pag. 28
DES: Algorithm Cryptography 12/7/2020 | pag. 29
DES: Algorithm Cryptography 12/7/2020 | pag. 30
DES: Algorithm Cryptography 12/7/2020 | pag. 31
DES: Algorithm Cryptography 12/7/2020 | pag. 32
DES: Algorithm Cryptography 12/7/2020 | pag. 33
DES: Algorithm Cryptography 12/7/2020 | pag. 34
DES: Algorithm Cryptography 12/7/2020 | pag. 35
DES: Algorithm Cryptography 12/7/2020 | pag. 36
DES: Algorithm Cryptography 12/7/2020 | pag. 37
DES: S-Boxes Cryptography 12/7/2020 | pag. 38
DES: Algorithm Cryptography 12/7/2020 | pag. 39
DES: Algorithm Cryptography 12/7/2020 | pag. 40
DES: Algorithm Cryptography 12/7/2020 | pag. 41
DES: Algorithm Cryptography 12/7/2020 | pag. 42 Round number Number of left rotations 1 1 2 1 3 2 4 2 5 2 6 2 7 2 8 2 9 1 10 2 11 2 12 2 13 2 14 2 15 2 16 1
DES: Algorithm Cryptography 12/7/2020 | pag. 43
DES: Algorithm Cryptography 12/7/2020 | pag. 44
DES: Algorithm Cryptography 12/7/2020 | pag. 45
Example: DES Key Conversion Code - Chart DECI 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 MAL HEX 0 1 2 3 4 5 6 7 8 9 A B C D E F BINA 0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1111 RY Cryptography 12/7/2020 | pag. 46
Example: S-Box Cryptography 12/7/2020 | pag. 47
Example: DES Cryptography 12/7/2020 | pag. 48
Example: DES Cryptography 12/7/2020 | pag. 49
Example: DES Cryptography 12/7/2020 | pag. 50
Example: DES Cryptography 12/7/2020 | pag. 51
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- Why cryptosystems fail
- Classical cryptosystems
- Principles of public key cryptography
- Why cryptosystems fail
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