By Dario Catalano, Ronald Cramer, Ivan Damgard, Giovanni Di Crescenzo, David Pointcheval, Tsuyoshi Takagi
The target of this article is to regard chosen themes of the topic of up to date cryptology, established in 5 relatively self reliant yet comparable topics:
- effective disbursed computation modulo a shared secret
- multiparty computation
- foundations of recent cryptography
- provable defense for public key schemes
- effective and safe public-key cryptosystems.
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Extra info for Contemporary Cryptology
Denote with (A( ,i) )j the local output of player Pj . 3. Set (B1 )j = (A(3(n+1),1) )j . 4. For i = 2 to m do Run the protocol MUL((Bi−1 )j , (A(3(n+1),i) )j . Denote with (Bi )j the local output of player Pj . 5. Run the protocol JRP-INV to generate shares rj of a random invertible element r. 6. Run the protocol MUL((Bm )j , rj ) and denote with zj the share obtained by player Pj . 7. Publish zj and using the values disclosed by the other players interpolate z. Output YES if z ≡ 0 rem q and NO otherwise.
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