Differential cryptanalysis of DES like cryptosystems Extended abstract 1st edition by Eli Biham,Adi Shamir

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Author:Eli Biham,Adi Shamir

Table of content:

1 Introduction 

2 Introduction to di erential cryptanalysis 8
3 DES reduced to four rounds 29
4 DES reduced to six rounds 34
5 DES reduced to eight rounds

6 DES with an arbitrary number of rounds 47
6.1 3R-attacks 
6.2 2R-attacks 
6.3 1R-attacks 
6.4 Summary of the cryptanalysis 
6.5 Enhanced characteristic’s probability 
7 Variants of DES 56
7.1 Modifying the P permutation 
7.2 Modifying the order of the S boxes
7.3 Modifying XORs by additions 
7.3.1 Modifying the XORs within the F function
7.3.2 Modifying all the XORs 
7.3.3 Modifying all the XORs in an equivalent DES description 59
101
7.4 Random and modi ed S boxes 
7.5 Four bits to four bits S boxes 
8 DES with independent keys 64
8.1 Eight rounds 
8.2 sixteen rounds
9 The Generalized DES Scheme (GDES) 69
9.1 GDES properties 
9.2 Cryptanalysis of GDES 
9.2.1 A known plaintext attack for n = q 
9.2.2 A chosen plaintext attack for n = q 
9.2.3 A chosen plaintext attack for n = 2q
9.2.4 A chosen plaintext attack for n = 3q  
9.2.5 A chosen plaintext attack for n = lq  
9.2.6 The actual breaking algorithm for n = 2q 
9.2.7 Conclusions
10 Non-di erential attacks on DES reduced to few rounds
10.1 Ciphertext only attacks 
10.1.1 A three-round attack 
10.1.2 Another three-round attack 
10.1.3 A four-round attack 

10.2 Known plaintext attacks
10.2.1 A three-round attack 
10.3 Statistical known plaintext attacks 
10.3.1 A three-round attack 
10.3.2 A four-round attack 
10.3.3 A  ve-round attack 
10.3.4 A six-round attack
A DES tables 

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