By Thomas Baigneres, Pascal Junod, Yi Lu, Jean Monnerat, Serge Vaudenay
This spouse workout and answer booklet to A Classical creation to Cryptography: functions for Communications safety features a conscientiously revised model of training fabric utilized by the authors and given as examinations to advanced-level scholars of the Cryptography and defense Lecture at EPFL from 2000 to mid-2005. A Classical creation to Cryptography workout Book covers a majority of the topics that make up present day cryptology, together with symmetric or public-key cryptography, cryptographic protocols, layout, cryptanalysis, and implementation of cryptosystems. routines don't require an intensive heritage in arithmetic, because the most crucial notions are brought and mentioned in lots of of the routines. The authors anticipate the readers to be pleased with simple evidence of discrete chance idea, discrete arithmetic, calculus, algebra, and laptop technological know-how. Following the version of A Classical advent to Cryptography: functions for Communications safety, workouts relating to the extra complicated elements of the textbook are marked with a celeb.
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Extra info for A Classical Introduction to Cryptography Exercise Book
6 Do you think that the new scheme is more secure than 3DES? Do you think that it is more secure than DES? 7 Let x and x' be two plaintexts, and let y = ExtDESK,llK2(x) and y' = ExtDESK,11K, (2') be the corresponding known ciphertexts. Explain how a smart choice of x and x' allows us to detect that we have u4 = uh and vq = vh simultaneously (here uh and vi are the internal intermediate values for computing y'). 8 Use the previous question to mount a chosen plaintext attack whose goal is to find a (x, x') pair with u4 = u&and v4 = vi simultaneously.
The total number of encryption/decryption steps that have to be performed is simply t times the number found in the first question (we assume that we always perform t times 3DES in the if statement of the algorithm). Therefore, this algorithm needs 3 . t encryptions/decryptions. 3 gives the approximate number N of wrong keys that are displayed, in terms of the number t of available plaintext/ciphertext pairs. According to this table, only 3 pairs are necessary to make almost sure that only the good key will be displayed.
For this attack, we mount a chosen-ciphertext attack. Moreover, the adversary will have the ability to choose the value of IV2 (the values of IV1 and IV3 are only known and fixed). The attack we will consider is described in Algorithm 3. ",6;)) the ith chosen ciphertext and P(" = (Pii), the corresponding plaintext. denote the ith chosen value for IV2. 7. Attacking the CBCICBC-'ICBC-' mode of operation 1 Give an approximation of the complexity of Algorithm 3. $, lent to the condition P:" = P?. in Algorithm 3.