By Thomas Baigneres, Pascal Junod, Yi Lu, Jean Monnerat, Serge Vaudenay
This significant other workout and resolution publication to A Classical creation to Cryptography: functions for Communications defense incorporates a conscientiously revised model of educating fabric utilized by the authors and given as examinations to advanced-level scholars of the Cryptography and safeguard Lecture at EPFL from 2000 to mid-2005. A Classical advent to Cryptography workout Book covers a majority of the topics that make up modern day cryptology, together with symmetric or public-key cryptography, cryptographic protocols, layout, cryptanalysis, and implementation of cryptosystems. routines don't require an intensive heritage in arithmetic, because the most crucial notions are brought and mentioned in lots of of the routines. The authors count on the readers to be ok with easy evidence of discrete chance concept, discrete arithmetic, calculus, algebra, and computing device technology. Following the version of A Classical creation to Cryptography: purposes for Communications defense, routines on the topic of the extra complex elements of the textbook are marked with a celeb.
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Additional resources for A Classical Introduction to Cryptography Exercise Book
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.
3) with respect to the variables al,a2,... ,an,Xl,... , h e D Solution on page 53 EXERCISE BOOK Solutions Solution 1 Weak Keys of DES If the subkeys kl to k16 are equal, then the reversed and original key schedules are identical. In that case, DESk clearly is an involution. The sixteen subkeys will be equal when the registers C and D are all-zero or all-one bit vectors, as the rotation of such bitstrings has no effect on them. Therefore, the four weak keys of DES can easily be computed to the four possible combinations of these C and D by applying P C I - I values.
6;)) the ith chosen ciphertext and P(" = (Pii), the corresponding plaintext. denote the ith chosen value for IV2. 7. Attacking the CBCICBC-'ICBC-' mode of operation 1 Give an approximation of the complexity of Algorithm 3. $, lent to the condition P:" = P?. in Algorithm 3. )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 !.