Unformatted text preview: freely cheat. 23.8 OneWay Accumulators
There is a simple oneway accumulator function [116] (see Section 4.12): A(xi, y) = xi1y mod n Previous Table of Contents Next Products  Contact Us  About Us  Privacy  Ad Info  Home Use of this site is subject to certain Terms & Conditions, Copyright © 19962000 EarthWeb Inc. All rights reserved. Reproduction whole or in part in any form or medium without express written permission of EarthWeb is prohibited. Read EarthWeb's privacy statement. To access the contents, click the chapter and section titles. Applied Cryptography, Second Edition: Protocols, Algorthms, and Source Code in C (cloth)
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Brief Full Advanced Search Search Tips (Publisher: John Wiley & Sons, Inc.) Author(s): Bruce Schneier ISBN: 0471128457 Publication Date: 01/01/96 Search this book:
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 The numbers n (n is the product of two primes) and x0 must be agreed upon in advance. Then, the accumulation of y1 , y2 , and y3 would be ((x0 y1 mod n)y2 mod n)y3 mod n This computation is independent of the order of y1, y2 , and y3. 23.9 AllorNothing Disclosure of Secrets
This protocol allows multiple parties (at least two are required for the protocol to work) to buy individual secrets from a single seller (see Section 4.13) [1374,1175]. First, here’s a definition. Take two bit strings, x and y. The fixed bit index (FBI) of x and y are the bits where the ith bit of x equals the ith bit of y. For example: x = 110101001011 y = 101010000110 FBI(x, y) = {1, 4, 5, 11} (We’re reading the bits from right to left, with the rightmost bit as zero.) Now, here’s the protocol. Alice is the seller. Bob and Carol are buyers. Alice has k nbit secrets: S1, S2 , ..., Sk. Bob wants to buy secret Sb; Carol wants to buy secret Sc. (1) Alice generates a publickey/privatekey key pair and tells Bob (but not Carol) the public key. She generates another publickey/privatekey key pair and tells Carol (but not Bob) the public key. (2) Bo...
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