By Thomas Baignères, Pascal Junod, Yi Lu, Jean Monnerat, Serge Vaudenay
This better half workout and answer e-book to A Classical creation to Cryptography: purposes for Communications Security incorporates a rigorously revised model of educating fabric. It used to be utilized by the authors or given as examinations to undergraduate and graduate-level scholars of the Cryptography and protection Lecture at EPFL from 2000 to mid-2005.
A Classical advent to Cryptography workout booklet for A Classical creation to Cryptography: purposes for Communications safety covers a majority of the themes that make up today's cryptology, reminiscent of symmetric or public-key cryptography, cryptographic protocols, layout, cryptanalysis, and implementation of cryptosystems. workouts don't require a wide heritage in arithmetic, because the most vital notions are brought and mentioned in lots of of the exercises.
The authors count on the readers to be ok with simple evidence of discrete chance conception, discrete arithmetic, calculus, algebra, in addition to desktop technological know-how. Following the version of A Classical advent to Cryptography: purposes for Communications defense, routines on the topic of the extra complicated components of the textbook are marked with a celeb.
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We note that the complexity of this attack is not increased by using 3DES instead of DES as the block size remains the same. In order to thwart this attack, we thus need to enlarge the block size. 9. 5 With XL = X R , we obtain yr, = y~ = 3DESKI,K2 (xL). So a circuit which computes this new scheme can be used to compute 3DES. Similarly, with K l = K2, we obtain compatibility with DES. 6 The previous question leads to the intuition that this new scheme is at least as strong as DES and 3DES. 9. A 128 bit extention of DES as the key size is increased and at least as secure as 3DES as the key size is the same.
5. 6. Attacking the OFBlCBClECB mode of operation 28 EXERCISE BOOK Exercise 12 Attacks on Encryption Modes II We use the notations of the previous exercise. 7 for two plaintext blocks). 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 the corresponding plaintext. ith chosen ciphertext and P(" = (Pii), Similarly, denote the ith chosen value for IV2.
This time, we denote by ct = 0 the case where all three LFSRs stay still at time t, and by ct = i the case where Riis clocked (the remaining two LFSRs staying necessarily still). We verify that Pr[cO = 01 = 1 4 and that Pr[cO= i ] = pghifted = Therefore, the distribution of c0 is uniform. i, a. Obviously, if no LFSR is shifted at time t, no LFSR will ever be shifted. Therefore Pr[cl = OlcO= 01 = 1 and Pr[cl # OlcO = 01 = 0. Moreover, if two taps have the same value at time t, the corresponding LFSRs will never be clocked (as they will never be in a minority).
A Classical Introduction to Cryptography Exercise Book by Thomas Baignères, Pascal Junod, Yi Lu, Jean Monnerat, Serge Vaudenay