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

TO CRYPTOGRAPHY workout publication 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 ebook is accessible from the Library of Congress. A CLASSICAL creation TO CRYPTOGRAPHY workout e-book by means 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 will not be translated or copied in complete or partially with no the written permission of the writer (Springer Science+Business Media, Inc., 233 Spring highway, big apple, manhattan 10013, USA), apart from short excerpts in reference to reports or scholarly research. Use in reference to any kind of info garage and retrieval, digital model, software program, or by means of comparable or multiple technique now recognize or hereafter built is forbidden. The use during this e-book of exchange names, emblems, provider 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 as to if or now not they're topic to proprietary rights. published within the usa

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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. 4 Find a relation between kl, k3, IV1, IV2, PI, P2 and A. Similarly, find a relation between kl, k3, IV1, P3,Pq,A, and B. 5 Deduce a (smart) attack that recovers kl and k3.

Show how a collision on encrypted blocks in CBC mode can leak some information on the plaintexts. What is the complexity of this attack when the block cipher used is DES? What is the complexity if we replace DES by 3DES? How can we protect ourselves against this attack? We now try to transform DES into a block cipher with 128-bit plaintext blocks, that we denote ExtDES. We use a 112-bit key which is split into two DES keys K1 and K2. For this, we define the encryption of a 128-bit block x as follows: rn we split x into two 64-bit halves xr, and rn we let u~ = DESK,(xL) and UR = XR such that x = X L ~ ~ X R DESK, (XR) 21 Conventional Cryptography rn rn we split uLlluR into four 32-bit quarters u l , u2, us, u4 such that UL = u111u2 and UR = u311u4 we let VL = DES;(:(U~ IIu4) and VR = D E S K : ( U ~ ~ ~ U ~ ) we split v ~ l l vinto ~ four 32-bit quarters v1,v2,v3,v4 such that VL = v111v2 and VR = v311v4 we let YL = DESK, (vlllv4) and y~ = DESK, (v311va) , ~of~ x~ , we define y = yL[lyRas the encryption E x ~ D E S ~(x) 4 Draw a diagram of ExtDES.

19 Conventional Cryptography the standard DES decryption of the message 0 under all 256 keys. Then we use a chosen-plaintext attack to build a second table containing the 256 ciphertexts resulting from box encryptions of the elements of the first table. Given these two tables, one can find both K1 and K2 used by the encryption box. Explain how one may proceed. The whole attack should take no more than 260 DES encryptions (or decryptions) and no more than 261 bytes of memory. D Exercise 6 Solution on page 37 *Exhaustive Search on 3DES We consider 3DES with three independent keys.