Download Contemporary Cryptology by Dario Catalano, Ronald Cramer, Ivan Damgard, Giovanni Di PDF
By Dario Catalano, Ronald Cramer, Ivan Damgard, Giovanni Di Crescenzo, David Pointcheval, Tsuyoshi Takagi
The target of this article is to regard chosen issues of the topic of latest cryptology, dependent in 5 really self reliant yet comparable topics:
- effective dispensed computation modulo a shared secret
- multiparty computation
- foundations of recent cryptography
- provable protection for public key schemes
- effective and safe public-key cryptosystems.
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Additional info for Contemporary Cryptology
L2 N 5 ]. 2. Set gi (z) = Lλi + bi,1 z + . . + bi,t z t , hi (z) = Lri + ci,1 z + . . + ci,t z t , and ρi (z) = 0 + ρi,1 z + . . + ρi,2t z 2t . 3. Send to each player Pj the values gi (j), hi (j), ρi (j), computed over the integers. [Round 2] Each player Pj does the following: P Pn Pn 1. Set gj = n i (j). ) i i i i 2. Broadcast the value Fj = fj gj + ehj + ρj [Output] Each player Pi does the following: 1. From the broadcast values interpolate the 2t-degree polynomial F (z) = f (z)g(z) + e · h(z) + ρ(z).
However, apart from the fact that it may be hard enough technically to formalize such requirements, it can be very diﬃcult to be sure that the list is complete. For instance, in electronic voting, we would clearly be unhappy about a solution that allowed a cheating voter to vote in a way that relates in a particular way to an honest player’s vote. Suppose, for instance, that the vote is a yes/no vote. Then we do not want player P1 to be able to behave such that his vote is always the opposite of honest player P2 ’s vote.
4), via a t-degree polynomial f (z) with free term Lφ. • In the ﬁrst round of the protocol, the players jointly generate two random t-degree polynomials g(z) and h(z) with free terms Lλ and LR, respectively, and a random 2t-degree polynomial ρ(z) with free term 0. • In the second round they reconstruct the 2t-degree polynomial F (z)=f (z)g(z) + e · h(z) + ρ(z) and recover its free term γ = F (0) = L2 λφ + LRe. • Finally, they use the GCD algorithm to (publicly) compute a, b such that aγ + be = 1 and set d = aLR + b = e−1 mod φ.