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

This spouse workout and answer publication to A Classical creation to Cryptography: purposes for Communications Security includes a conscientiously 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 safeguard Lecture at EPFL from 2000 to mid-2005.

A Classical advent to Cryptography workout e-book for A Classical creation to Cryptography: purposes for Communications protection 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. routines don't require a wide history 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 happy with easy proof of discrete chance idea, discrete arithmetic, calculus, algebra, in addition to machine technological know-how. Following the version of A Classical advent to Cryptography: purposes for Communications safety, workouts regarding the extra complicated elements of the textbook are marked with a celebrity.

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Z. Algorithm 4 Brute force attack using the complementation property Input: a plaintext x and two ciphertexts DESK(x) and DESK(:) Output: the key candidate for K Processing: 1: for all non-tested key k do 2: c c DESk(x) 3: ifc=DESK(x)then 4: output k and stop. =DESK(:)then 7: output % and stop. s: end if 9: end for The complementation property of DES is known at least since the publication of [14]. Solution 4 3DES Exhaustive Search 1 As the total length of the key is 112 bits, the average complexity of an exhaustive search against two-key 3DES is .

Adversary modeling a memoryless exhaustive search EXERCISE BOOK (this is a geometrical distribution) k where denotes the key chosen by the cryptanalyst. 12) we deduce - =Pr[K=ki]-2 as shown below Note that we needed a classical result, namely that we have when x is a real value such that 1x1 < 1. In the particular case where the key distribution is uniform, we have Pr[K = k . , N}, so that This is minimal when all the pr[E? = ki] are equal, and in this case As this algorithm is memoryless, the same wrong key can be queried twice.

From C t , j , C t + l , j , . . , ct+d-l,j one can linearly compute ct+d,j. How is it possible to build an electronic circuit which computes the sequence defined in the first question with 1-bit registers and 1-bit adders? 4 What are the possible values of the period of the sequence si(X) for i 2 O? When is it maximal? D Solution on page 42 Conventional Cryptography Exercise 10 *Attacks on Cascade Ciphers In this exercise, we consider a block cipher of block length n and of key length e. The encryption function of the block cipher is denoted E.