March 7, 2017

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

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 information A C.I.P. Catalogue checklist for this ebook is offered from the Library of Congress. A CLASSICAL advent TO CRYPTOGRAPHY workout booklet 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 published 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 partly with out the written permission of the writer (Springer Science+Business Media, Inc., 233 Spring road, ny, long island 10013, USA), apart from short excerpts in reference to stories or scholarly research. Use in reference to any kind of details garage and retrieval, digital model, software program, or via comparable or varied technique now recognize or hereafter built is forbidden. The use during this booklet of alternate names, logos, carrier marks and related phrases, no matter if the will not be pointed out as such, isn't to be taken as an expression of opinion as to if or now not they're topic to proprietary rights. revealed within the country

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In order to thwart this attack, we thus need to enlarge the block size. 9. 5 With XL = X R , we obtain yr, = y~ = 3DESKI,K2 (xL). So a circuit which computes this new scheme can be used to compute 3DES. Similarly, with K l = K2, we obtain compatibility with DES. 6 The previous question leads to the intuition that this new scheme is at least as strong as DES and 3DES. 9. A 128 bit extention of DES as the key size is increased and at least as secure as 3DES as the key size is the same. The advantage of this scheme is that it is protected against the collision attack in CBC mode.

2 Algorithm 4 describes a brute force attack that exploits the complementation property of DES. Therefore, if the condition of line 6 is true, we almost surely have K = In the loop, the only heavy computation is the computation of DESk(x),and we expect to perform 254 such computations. 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.

2 Use the previous answer to disprove the aforementioned assumption in the following special case of A5/1: show that the all-zero 64-bit keystream can be generated by different 64-bit keys. 3 Compute a tight lower bound on the number of different keys that generate such a keystream. Let us now consider a variant of A5/1, by replacing the majority function with the minority function for the clocking vote, where the minority function of three binary bits a , b, c is defined by minority(a, b, c ) = ifa=b=c a $ b $ c otherwise.

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