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

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 facts A C.I.P. Catalogue list for this publication is obtainable from the Library of Congress. A CLASSICAL advent TO CRYPTOGRAPHY workout e-book via 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 complete or partly with out the written permission of the writer (Springer Science+Business Media, Inc., 233 Spring road, manhattan, new york 10013, USA), aside from short excerpts in reference to studies or scholarly research. Use in reference to any kind of info garage and retrieval, digital version, software program, or by way of related or diverse method now be aware of or hereafter constructed is forbidden. The use during this ebook of alternate names, emblems, carrier marks and related phrases, whether the should not pointed out as such, isn't really to be taken as an expression of opinion to whether or no longer they're topic to proprietary rights. published within the united states

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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 . 2112 = 2'l1. 37 Conventional Cryptography 2 It is easy to see that the complementation property of DES can be extended to 3DES: Using an algorithm very similar to Algorithm 4 (where we just replace DESK by 3DESKl,K2),we can reduce the complexity by a factor 2. The average complexity becomes 2'". Solution 5 2DES and Two-Key 3DES 1 (a) A naive exhaustive search has a worst-case complexity of 2112 DES evaluations and an average complexity of 2ll1 DES evaluations.

Write an algorithm similar to Algorithm 1 that reduces the number of wrong keys that are displayed (but which does at least display k). What is the total number of DES encryptions/decryptions of this algorithm? 5 Express the average number of wrong keys that are displayed by your algorithm in function of t (which is the number of available plaintextlciphertext couples). Evaluate the necessary number of couples in order to be almost sure that only the good key k = (kl, k2, k3) is displayed. D Exercise 7 Solution on page 37 An Extension of DES t o 128-bit Blocks DES is a 64-bit plaintext block cipher which uses a 56 bit key.

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 . A pair of semi-weak keys occurs when the subkeys kl through k16 of the first key are respectively equal to the subkeys k& through k i of the second one.

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