Lectures on Data Security: Modern Cryptology in Theory and by Mihir Bellare (auth.), Ivan Bjerre Damgård (eds.)

By Mihir Bellare (auth.), Ivan Bjerre Damgård (eds.)

This educational quantity relies on a summer season institution on cryptology and knowledge safety held in Aarhus, Denmark, in July 1998. the 10 revised lectures awarded are dedicated to middle subject matters in sleek cryptololgy. according to the academic targets of the varsity, easy introductions are supplied to imperative issues, a variety of examples are given of the issues encountered, and this is often supplemented with suggestions, open difficulties, and connection with extra studying. The ensuing ebook is ultimate as an up to date introductory textual content for college students and IT execs attracted to smooth cryptology.

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By Mihir Bellare (auth.), Ivan Bjerre Damgård (eds.)

This educational quantity relies on a summer season institution on cryptology and knowledge safety held in Aarhus, Denmark, in July 1998. the 10 revised lectures awarded are dedicated to middle subject matters in sleek cryptololgy. according to the academic targets of the varsity, easy introductions are supplied to imperative issues, a variety of examples are given of the issues encountered, and this is often supplemented with suggestions, open difficulties, and connection with extra studying. The ensuing ebook is ultimate as an up to date introductory textual content for college students and IT execs attracted to smooth cryptology.

Show description

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Extra info for Lectures on Data Security: Modern Cryptology in Theory and Practice

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To convince a sceptical judge of the veracity of an assertion without giving anymore information away than the fact that the assertion is true. 5 Mutually Random Coins. Another application of commitments is mutually random coins. Here players A and B want to establish a bit (or a string) that is random if one of them is honest. A simple protocol goes as follows. A selects a random bit bA and sends to player B a commitment to it. Player B selects a random bit bB and sends it to A, who opens the commitment.

To player i he privately sends si = Mi b as share in s, for i = 1 . . n. Reconstruction Phase: Let A ⊂ {1, . . , n} with |A| ≥ t. From their joint information, the players in A efficiently compute by elementary linear algebra λ ∈ K |A| such that MAT λ = . Write M b = s. Then s = b, = b, MAT λ = MA b, λ = sA , λ , which they can compute efficiently. It should be clear that reconstruction works as desired. e. sA = MA b. Let s˜ ∈ K be arbitrary, and let κ be such that MA κ = 0 and κ1 = 1. Then MA (b + (˜ s − s)κ) = sA and the first coordinate of the argument is equal to s˜.

Over a finite field K, let M be an (n, t)-Vandermonde matrix. Distribution Phase: Let s ∈ K be the secret. The dealer chooses a vector b ∈ K t by setting its first coordinate b1 to s, and selecting random elements from Introduction to Secure Computation 49 K for the remaining coordinates. To player i he privately sends si = Mi b as share in s, for i = 1 . . n. Reconstruction Phase: Let A ⊂ {1, . . , n} with |A| ≥ t. From their joint information, the players in A efficiently compute by elementary linear algebra λ ∈ K |A| such that MAT λ = .

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