This book provides a survey on different kinds of Feistel ciphers, with their definitions and mathematical/computational properties. Feistel ciphers are widely used in cryptography in order to obtain pseudorandom permutations and secret-key block ciphers. In Part 1, we describe Feistel ciphers and their variants. We also give a brief story of these ciphers and basic security results. In Part 2, we describe generic attacks on Feistel ciphers. In Part 3, we give results on DES and specific Feistel ciphers. Part 4 is devoted to improved security results. We also give results on indifferentiability and indistinguishability.

A comprehensive survey on different kinds of Feistel ciphers, including attacks and security results

Part 1 Definitions and first security results.- Chapter 1 Classical Feistel ciphers, first properties.- Chapter 2 Generalized Feistel ciphers, first properties.- Chapter 3 Luby-Rackoff Theorems.- Chapter 4 The coefficient H method.- Part 2 Generic Attacks.- Chapter 5 Introduction to cryptanalysis.- Chapter 6 Classical Feistel ciphers.- Chapter 7 Contracting Feistel ciphers.- Chapter 8 Expanding Feistel ciphers.- Chapter 9 Generalized Feistel ciphers.- Chapter 10 Classical Feistel ciphers with internal permutations.- Part 3: DES and other specific Feistel ciphers.- Chapter 11 DES (Definition, differential and linear cryptanalysis of DES).- Chapter 12 3DES with 2 keys.- Chapter 13: XDES, 3DES with 3 keys.- Chapter 14 Bear-Lion, Cast, RC6, MARS, Coconut, Simon, Lucifer.- Part 4 Improved security results.- Chapter 15 Proofs beyond the birthday bound with the coupling method.- Chapter 16 Proofs beyond the birthday bound with the coefficient H method.- Chapter 17 Proofs based on games.- Chapter 18 Indifferentiability.