By Thomas Baigneres, Pascal Junod, Yi Lu, Jean Monnerat, Serge Vaudenay

ISBN-10: 0387279342

ISBN-13: 9780387279343

ISBN-10: 038728835X

ISBN-13: 9780387288352

This spouse workout and resolution e-book to A Classical advent to Cryptography: functions for Communications safety encompasses a rigorously revised model of educating fabric utilized by the authors and given as examinations to advanced-level scholars of the Cryptography and safety Lecture at EPFL from 2000 to mid-2005. A Classical creation to Cryptography workout Book covers a majority of the topics that make up modern cryptology, together with symmetric or public-key cryptography, cryptographic protocols, layout, cryptanalysis, and implementation of cryptosystems. workouts don't require an intensive historical past in arithmetic, because the most crucial notions are brought and mentioned in lots of of the workouts. The authors count on the readers to be ok with uncomplicated evidence of discrete chance conception, discrete arithmetic, calculus, algebra, and laptop technology. Following the version of A Classical creation to Cryptography: functions for Communications safety, workouts regarding the extra complicated elements of the textbook are marked with a celebrity.

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**Example text**

N ) ) to the oracle is P ~ [= Eki]. The cryptanalyst iteratively queries the oracle with randomly selected keys, in an independent way, until he finds the right one. Note that, as the queries are independent, the complexity could in principle be infinite (we say that the algorithm is memoryless). The strategy of the cryptanalyst is to select a distribution for his queries. , when K is uniformly distributed). How do you improve the attack? 2 If the a priori distribution of the keys is not uniform (but known by the adversary), what is the best memoryless algorithm for finding the key with the oracle?

It is 255 in average and can be reduced by a factor of 2 by using the complementation property (see Exercise 3 in this chapter). 2 A key for 3DES consists of two keys for DES, so the key length is 112. The exhaustive search complexity is thus 2112 in the worst case for 3DES. It is 211' in average and can be further reduced by a factor of 2 by using the complementation property (see Exercise 4 in Chapter 2). 3 In CBC mode of operation, the ith ciphertext block yi is where xi is the ith plaintext block.

We assume that P,(")= some i # j . 7). 7) again, we A2(4- A,(d. 8) we conclude that 3 As IV1 is constant, 4 Algorithm 10 recovers K3 in 2k time complexity. Once K3 is found, the adversary can peel the third layer off and mount a meet-in-themiddle attack on the first two layers. 9) holds then 2: 3: display K3 4: end if 5: end for attack is 0 ( 2 ~ )in time, ~ ( 2 ' )in storage, and needs ~ ( 2 ~ chosen 1 ~ ) ciphertexts. A detailed study of cryptanalysis of multiple modes of operation can be found in [3, 41.

### A Classical Introduction to Cryptography Exercise Book by Thomas Baigneres, Pascal Junod, Yi Lu, Jean Monnerat, Serge Vaudenay

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