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

ISBN-10: 0387258809

ISBN-13: 9780387258805

ISBN-10: 0387279342

ISBN-13: 9780387279343

ISBN-10: 038728835X

ISBN-13: 9780387288352

TO CRYPTOGRAPHY workout ebook 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 information A C.I.P. Catalogue checklist for this ebook is out there from the Library of Congress. A CLASSICAL advent TO CRYPTOGRAPHY workout booklet by way of 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 is probably not translated or copied in complete or partially with no the written permission of the writer (Springer Science+Business Media, Inc., 233 Spring road, manhattan, long island 10013, USA), apart from short excerpts in reference to reports or scholarly research. Use in reference to any kind of details garage and retrieval, digital edition, software program, or by means of related or diverse technique now understand or hereafter constructed is forbidden. The use during this book of exchange names, emblems, carrier marks and comparable phrases, no matter if the are usually not pointed out as such, isn't to be taken as an expression of opinion to whether or no longer they're topic to proprietary rights. published within the u . s . a .

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**Example text**

Blb2. The final semi-weak keys are obtained by applying PCI-I on (C, D ) and on (C1,Dl). The existence of semi-weak keys is known at least since the publication of [14]. 2. Semi-weak key pairs of DES Solution 3 Complementation Property of DES and that Z @y = x @ y. The initial and 1 First note that Z @y = final permutations (IP and IP-l) do not have any influence on our computations, so we will not consider them. We can write one round of DES as K)) (CL,CR) +- (PR,PL@ F(PR, where PL and PR denote the left and right half of the plaintext, respectively, where CL and CR denote the left and right half of the ciphertext and where K denotes the key.

Now, we are given two (fixed) ~ . have values P, C E { O , I ) ~ We where the last sum simply is the number of permutations mapping P on C , which is the number of permutations of a set of cardinality 264 - 1. Finally, Pr[C*(P)= C] = 39 Conventional Cryptography 3 We assume that PrK[3DESK(P) = C] = Prc* [C*(P) = C] = 2-". Multiplying this probability by the number of tried keys, we obtain the number of keys that are displayed: All the displayed keys (except one) are wrong keys! 4 We consider Algorithm 6.

Note that two independent keys are used here, one in the CBC mode, the other in the CFB mode. , that the block length is larger than the key length) and that all the IV 's are known to the adversary. For simplicity, we denote Eki and Dki by Ei and Di respectively. 3. 4. 4. 5. We are going to mount a chosen plaintext attack against it. The plaintext P we choose, is the concatenation of three n-bit blocks such that P = (A, A, B) (where A, B E (0, lIn denote arbitrary blocks of n bits). The three blocks of the corresponding ciphertexts are denoted C1, C2, and C3.

### A classical introduction to cryptography exercise book by Thomas Baigneres, Pascal Junod, Yi Lu, Jean Monnerat, Serge Vaudenay

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