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

ISBN-10: 038728835X

ISBN-13: 9780387288352

This spouse workout and resolution e-book to A Classical advent to Cryptography: functions for Communications Security includes a rigorously revised model of training fabric. It was once utilized by the authors or given as examinations to undergraduate and graduate-level scholars of the Cryptography and safeguard Lecture at EPFL from 2000 to mid-2005.

A Classical advent to Cryptography workout booklet for A Classical creation to Cryptography: functions for Communications safety covers a majority of the topics that make up today's cryptology, similar to symmetric or public-key cryptography, cryptographic protocols, layout, cryptanalysis, and implementation of cryptosystems. workouts don't require a wide historical past 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 pleased with uncomplicated proof of discrete chance concept, discrete arithmetic, calculus, algebra, in addition to machine technological know-how. Following the version of A Classical advent to Cryptography: functions for Communications defense, workouts concerning the extra complex components of the textbook are marked with a celeb.

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**Additional resources for A Classical Introduction to Cryptography Exercise Book**

**Example text**

256 . 27 . T3= 261 bytes. + Solution 6 *Exhaustive Search on 3DES 1 The algorithm successively tries each possible key. It does not stop until the last possible key is tried. 1), under the keys K1 and K2 Output: K1 and K2 Processing: 1: for all k E (0, 1)56do 2: 3: P~+DEs;~(o) store (Pk,k) in a table Tl (sorted according to Pk) DESK^, KZ ( P k ) 4: Ck 5: B~ + D E S ; ~ ( C ~ ) 6: 7: 8: 9: lo: 11: store (Bk,k) in a table T2 (sorted according to Bk) end for sort the table TI according to the Pk'svalues sort the table T2 according to the Bk7svalues Store the keys kl,k2 E (0, 1)56such that Bkl = Pk2in another table T.

4 4 If all LFSRs are shifted at time 0, we know that all three taps had the same value. But as we assumed that the cells of the LFSRs were drawn independently, this tells us nothing about cl, and thus 1 Pr[c1 = clc0 = 01 = pr[cl = c] = 4' for all c E {O,1, 2,3). When c0 # 0, exactly two LFSRs are shifted. As the two new values of the clocking taps are uniformly distributed and independent random values, then we have no information whatsoever about the next majority value and hence, neither about cl.

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. The advantage of this scheme is that it is protected against the collision attack in CBC mode. 7 If we choose x and x1 such that XL = x i , then 8 We take an arbitrary (fixed) 64-bit string a. For many 64-bit strings p we encrypt x = all& With non-negligible probability, we will get a collision on the yL's after a number of encryption within the order of magnitude of 232. We will thus get x = aIIP and x1 = allP1 such that u4 = U& and v4 = v i .

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

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