New constructions of anonymous membership broadcasting schemes

Henk van Tilborg, Josef Pieprzyk, Ron Steinfeld, Huaxiong Wang

Research output: Contribution to journalArticlepeer-review

Abstract

An anonymous membership broadcast scheme is a method in which a sender broadcasts the secret identity of one out of a set of n receivers, in such a way that only the right receiver knows that he is the intended receiver, while the others cannot determine any information about this identity (except that they know that they are not the intended ones). In a w-anonymous membership broadcast scheme no coalition of up to w receivers, not containing the selected receiver, is able to determine any information about the identity of the selected receiver. We present two new constructions of w-anonymous membership broadcast schemes. The first construction is based on error-correcting codes and we show that there exist schemes that allow a flexible choice of w while keeping the complexities for broadcast communication, user storage and required randomness polynomial in log n,. The second construction is based on the concept of collision-free arrays, which is introduced in this paper. The construction results in more flexible schemes, allowing trade-offs between different complexities.

Original languageEnglish
Pages (from-to)29-44
Number of pages16
JournalAdvances in Mathematics of Communications
Volume1
Issue number1
Publication statusPublished - Feb 2007

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