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

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

This significant other workout and resolution e-book to A Classical advent to Cryptography: functions for Communications Security features a conscientiously revised model of educating 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 creation to Cryptography workout booklet for A Classical advent to Cryptography: purposes for Communications safeguard covers a majority of the topics that make up today's cryptology, resembling 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 pleased with easy proof of discrete likelihood idea, discrete arithmetic, calculus, algebra, in addition to laptop technological know-how. Following the version of A Classical creation to Cryptography: purposes for Communications defense, workouts relating to the extra complex components of the textbook are marked with a celebrity.

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Extra resources for A Classical Introduction to Cryptography Exercise Book

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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. 7. Attacking the CBCICBC-'ICBC-' mode of operation 1 Give an approximation of the complexity of Algorithm 3. $, lent to the condition P:" = P?. IVY) in Algorithm 3. )equiva- 4 Deduce an attack that recovers the value of K3. Once K3 is found, how can K1 and K2 be recovered? What is the overall complexity of the attack?

We build a sequence so(X),sl (X),. . in K defined by so(X) = 1 and st+1(X) = X * s t ( X ) for all t 0. We have > st(X)= Xt mod P(X) for all t 2 0. 1 Compute the first eight elements of the sequence when P(X) = X3 X + 1. What is the period of the sequence? + + + 2 To each element q(X) = qo - . qd-lXd-l of K we assign an integer T defined by 4'90 +q1 ' 2 " ' + qd-1 '2d-1. How is it possible to implement the computation of the usual instructions available in a microprocessor? from stwith 3 We define ct,j as being the coefficient of Xi in s t ( X ) and the d x d matrix Mt with elements in Z2 as for 1 rn rn rn < i , j L: d and t 2 0 .

As R1 is not shifted if and only if TI # T2 = T3, we have pfixed 1 - 1 23 1 ~ T I + T ~ ==T-~ Ti 7 2 ,T3 4' 2. , 2 Clearly, either 2 or 3 LFSRs are shifted at each clock. In other words, when one LFSR is fixed, the two others are shifted. The probability that exactly two LFSRs are shifted is thus equal to the probability that exactly one is fixed. This probability is simply equal to plfiXed p2fixed p3fixed= as the three events are disjoint. + + ~ 2 3 We denote by ct E {O,1, 2,3) the way the LFSRs are shifted at time t .

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