By Sean Murphy, Matthew J.B. Robshaw (auth.), Moti Yung (eds.)
Crypto 2002, the twenty second Annual Crypto convention, was once subsidized by way of IACR, the foreign organization for Cryptologic study, in cooperation with the IEEE desktop Society Technical Committee on safeguard and privateness and the pc technological know-how division of the college of California at Santa Barbara. it truly is released as Vol. 2442 of the Lecture Notes in desktop technology (LNCS) of Springer Verlag. word that 2002, 22 and 2442 are all palindromes... (Don’t nod!) Theconferencereceived175submissions,ofwhich40wereaccepted;twos- missionsweremergedintoasinglepaper,yieldingthetotalof39papersaccepted for presentation within the technical application of the convention. during this complaints quantity you'll ?nd the revised types of the 39 papers that have been offered on the convention. The submissions symbolize the present nation of labor within the cryptographic neighborhood around the world, masking all parts of cryptologic learn. in truth, many top of the range works (that definitely might be released somewhere else) couldn't be authorised. this can be because of the aggressive nature of the convention and the hard job of choosing a software. I desire to thank the authors of all submitted papers. certainly, it's the authors of all papers who've made this convention attainable, whether or now not their papers have been approved. The convention application was once additionally immensely bene?ted by means of plenary talks.
Read or Download Advances in Cryptology — CRYPTO 2002: 22nd Annual International Cryptology Conference Santa Barbara, California, USA, August 18–22, 2002 Proceedings PDF
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Extra info for Advances in Cryptology — CRYPTO 2002: 22nd Annual International Cryptology Conference Santa Barbara, California, USA, August 18–22, 2002 Proceedings
Adding all these probabilities up, we see that the probability that any collision occurs is Θ(q 2 )/2n . Case iv: A can distinguish H 3 from H 4 , where H 4 (T, M ) = R(T, M ), where R is a random function. In order for there to be a diﬀerence between H 3 and H 4 , the output of R must be constrained for two diﬀerent input pairs. Thus, there must be a pair i, j such that Ti ⊕ R1 (Mi ) = Tj ⊕ R1 (Mj ) for i = j. What is the probability that this happens for any given j? Well, if Mj is a new M , this will only happen with probability (j − 1)/2n .
The scheme also makes use of a family of hash functions Hi and of an additional hash function F which are modeled as random oracles. e. ) = SHA-1( . i). g. F = H0 . Given the public key pk, one can encrypt a message M formed of n l–bit blocks, (M , M , . . , M [n]) by randomly choosing w and u and by computing the ciphertext (T1 , C, C, . . , C[n], T2 ) as follows: T1 = Epk (w, u) k1 = H1 (w, T1 ) C = Ek1 (M ) ki = Hi (ki−1 , M [i − 1], w) C[i] = Eki (M [i]) T2 = F (kn , M [n], w) This is summarized in ﬁgure 1.
A ﬁxed public key K is used in the tweakable block cipher. The message M is padded in some ﬁxed reversible manner, such as by appending a 1 and then enough 0’s to make the length a multiple of n. The value H is the output of the hash function. One can also adapt the TBC construction to make a TBC-MAC in the same manner that one can use the CBC construction to make a CBC-MAC, though these constructions still need a security analysis. 2 Tweak Chain Hash (TCH) To make a hash function, one can adapt the Matyas-Meyer-Oseas construction (see Menezes et al.