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

TO CRYPTOGRAPHY workout booklet Thomas Baignkres EPFL, Switzerland Pascal Junod EPFL, Switzerland Yi Lu EPFL, Switzerland Jean Monnerat EPFL, Switzerland Serge Vaudenay EPFL, Switzerland Springer - Thomas Baignbres Pascal Junod EPFL - I&C - LASEC Lausanne, Switzerland Lausanne, Switzerland Yi Lu Jean Monnerat EPFL - I&C - LASEC EPFL-I&C-LASEC Lausanne, Switzerland Lausanne, Switzerland Serge Vaudenay Lausanne, Switzerland Library of Congress Cataloging-in-Publication info A C.I.P. Catalogue list for this publication is offered from the Library of Congress. A CLASSICAL advent TO CRYPTOGRAPHY workout e-book through Thomas Baignkres, Palcal Junod, Yi Lu, Jean Monnerat and Serge Vaudenay ISBN- 10: 0-387-27934-2 e-ISBN-10: 0-387-28835-X ISBN- thirteen: 978-0-387-27934-3 e-ISBN- thirteen: 978-0-387-28835-2 revealed on acid-free paper. O 2006 Springer Science+Business Media, Inc. All rights reserved. This paintings will not be translated or copied in entire or partially with no the written permission of the writer (Springer Science+Business Media, Inc., 233 Spring road, manhattan, big apple 10013, USA), aside from short excerpts in reference to studies or scholarly research. Use in reference to any type of info garage and retrieval, digital version, software program, or through comparable or distinct technique now comprehend or hereafter built is forbidden. The use during this booklet of exchange names, logos, carrier marks and comparable phrases, whether the should not pointed out as such, isn't really to be taken as an expression of opinion as to if or now not they're topic to proprietary rights. published within the usa

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The existence of weak keys is known at least since the publication of [14]. 1. Weak keys of DES Solution 2 Semi-Wea k Keys of DES First, note that it is possible to generate a DES decryption schedule on-the-fly. After k16 is generated, the values of C and D are equal to the original ones, since they both have been submitted to a 28-bit rotation. Thus, provided that one exchanges the left rotations with right rotations and the amount of the first rotation to 0 (instead of l), the same algorithm used to generate kl up to k16 can also generate the subkeys kls down to k l .

Similarly, find a relation between A", IV, C1, and C2. Deduce a relation between k3, IV, C1, and C2. 3 Deduce an attack which recovers k3. Once k3 is found, how do you recover kl and k2? What is the complexity of the whole attack? 6). This time, we are going to mount a chosen-ciphertext attack. The ciphertext C we choose, is the concatenation of four n-bit blocks such that C = (A, A, B , B) (where A, B denote arbitrary blocks of n bits). The four blocks of the corresponding plaintext are denoted Pl to P4.

So, as long as the leftmost bits of two non-zero LFSRs are equal and the clocking taps are both one, the variant A511 generates the all-zero keystream. 5 We consider the following four different cases: a Case where the three LFSRs all stop forever: we have 264-2-1 = 261 different initial states that satisfy two linear relations: one clocking constraint and one output constraint. a For R1 = 0: In this case, if R2[10] = R3[10] = 1 and R2[21] = R3[22] we know that we obtain the all-zero keystream.

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