Information Theory

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 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 information A C.I.P. Catalogue list for this publication is obtainable from the Library of Congress. A CLASSICAL creation TO CRYPTOGRAPHY workout ebook 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 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 partially with out the written permission of the writer (Springer Science+Business Media, Inc., 233 Spring road, big apple, manhattan 10013, USA), aside from 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 through related or assorted technique now comprehend or hereafter constructed is forbidden. The use during this ebook of exchange names, logos, provider marks and comparable phrases, no matter if the aren't 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. revealed within the country.

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Equiva- 4 Deduce an attack that recovers the value of K3. Once K3 is found, how can K1 and K2 be recovered? What is the overall complexity of the attack? " - D Exercise 13 Solution on page 47 *A Variant of A511 I In stream ciphers, the prevailing encryption is a bitwise XOR operation between the m-bit plaintext and the m-bit keystream which is the output of a so-called keystream generator fed by the L-bit secret key, where m is much larger than !. An ideal assumption for good stream ciphers is that any &bit window of the m-bit keystream is eventually modified when the Gbit key is modified.

In total there are possibilities. We now suggest an alternative to the previous solution. The three rotors allow 263 = 17,576 different combinations. The plugboard allows different possibilities. 76. 1015. , one can encode the key with 51 bits. 3 An exhaustive search on a 51-bit key requires 250 attempts in average. Simon Singh's Code Book [51] is a good reference on the history of the Enigma machine. Chapter 2 CONVENTIONAL CRYPTOGRAPHY Exercises Exercise 1 Weak Keys of DES We say that a DES key k is weak if DESk is an involution.

1. 1). We want to recover k by an exhaustive search. 1 What is the number of DES encryptions/decryptions of Algorithm l ? A l g o r i t h m 1 Exhaustive key search algorithm on 3DES I n p u t : a plaintext/ciphertext couple (P,C ) O u t p u t : key candidate(s) for k = (kl, k2, k3) Processing: 1: for each possible key K = (K1, K2,K3) d o 2: ifC=3DESK(P)then 3: display K = (Kl,K2,K3) 4: e n d if 5: e n d for 2 Let C* : {0,1)" 4 {0, 1)64denote a uniformly distributed random permutation. What is the probability that C*(P) = C .

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