Randomness in Multi-Secret Sharing Schemes.
Carlo Blundo, Barbara Masucci · Zenodo (CERN European Organization for Nuclear Research) · 1999
: A multi--secret sharing scheme is a protocol to share a number of (arbitrarily related) secrets among a set of participants in such a way that only qualified sets of participants can recover the secrets, whereas non-qualified sets of participants might have partial information about them. In this paper we analyze the amount of randomness needed by multi--secret sharing schemes. Given an m-tuple of access structures, we give a lower bound on the number of random bits needed by multi--secret sharing schemes; the lower bound is expressed in terms of a combinatorial parameter that depends only upon the access structures and not on the particular multi--secret sharing scheme used. Key Words: Data Security, Cryptography, Randomness, Secret Sharing Schemes. Category: E.3 1 Introduction There are many situations in cryptography in which it is important to be able to generate random numbers, random bit strings, etc. For example, cryptographic keys are to be generated at random from a speci...