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 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 no the written permission of the writer (Springer Science+Business Media, Inc., 233 Spring highway, manhattan, manhattan 10013, USA), with the exception of short excerpts in reference to studies or scholarly research. Use in reference to any type of info garage and retrieval, digital model, software program, or via comparable or varied technique now understand or hereafter built is forbidden. The use during this book of exchange names, emblems, carrier marks and related phrases, whether the should not pointed out as such, isn't to be taken as an expression of opinion to whether or now not they're topic to proprietary rights. published within the country

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This leaves 219-4 = 215 d ifferent initialization states. Following the same reasoning, we deduce the following lower bound on the number of possible initializations states in this case: R2 # 0 and R1 = R3 = 0: We similarly obtain a lower bound eaual to w For For R3 # 0 and R1 = R2 = 0: We similarly obtain a lower bound 50 EXERCISE BOOK Summing these values, we conclude that there are at least 222 such initialization states. 4 When the initial clocking taps of the three LFSRs are all equal, none of the three LFSRs will ever be shifted.

256 DES evaluations. 2 (a) A naive exhaustive search for a two-key 3DES has a worst-case complexity of 3 2112 DES evaluations and an average complexity of 3 - 2''' DES evaluations. (b) The attack is given in Algorithm 5. It focuses on the case where the result after the first encryption stage is the all-zero vector, denoted by 0. Note that in the algorithm, and thus, B ~ =, DES;;: (0) = PK2. Consequently, the two keys kl, k2 found in line 10 in the algorithm (such that Bk, = Pk2) are indeed a candidate solution pair.

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. The algorithm clearly displays k as we do A l g o r i t h m 6 Exhaustive key search algorithm on 3DES, using t plaintextlciphertext pairs I n p u t : t plaintext/ciphertext pairs (Pi,Ci), for i = 1,.