General Secret Sharing Based on the Chinese Remainder Theorem with Applications in E-Voting

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General Secret Sharing Based on the Chinese Remainder Theorem with Applications in E-Voting

Threshold secret sharing based on the Chinese remainder theorem has been considered by Mignotte [23] and Asmuth and Bloom [1]. In this paper we demonstrate that the Chinese remainder theorem can be used for realizing more general access structures, as the compartmented or the weighted threshold ones. We also prove that there exist some non-weighted threshold access structures whose realizations...

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General Secret Sharing Based on the Chinese Remainder Theorem

In this paper we extend the threshold secret sharing schemes based on the Chinese remainder theorem in order to deal with more general access structures. Aspects like verifiability, secret sharing homomorphisms and multiplicative properties are also discussed. AMS Subject Classification: 94A62, 11A07

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Compartmented Secret Sharing Based on the Chinese Remainder Theorem

A secret sharing scheme starts with a secret and then derives from it certain shares (or shadows) which are distributed to users. The secret may be recovered only by certain predetermined groups. In case of compartmented secret sharing, the set of users is partitioned into compartments and the secret can be recovered only if the number of participants from any compartment is greater than a fixe...

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Weighted Secret Sharing Based on the Chinese Remainder Theorem

In a ) , ( n t secret sharing scheme (SS), a dealer divides a secret into n shares in such a way that (a) the secret can be recovered successfully with t or more than t shares, and (b) the secret cannot be recovered with fewer than t shares. In a weighted secret sharing scheme (WSS), each share of a shareholder has a positive weight. The secret can be recovered if the overall weight of shares i...

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Weighted Threshold Secret Sharing Based on the Chinese Remainder Theorem

A secret sharing scheme derives from a given secret certain shares (or shadows) which are distributed to users. The secret can be recovered only by certain predetermined groups. In the first secret sharing schemes only the number of the participants in the reconstruction phase was important for recovering the secret. Such schemes have been referred to as threshold secret sharing schemes. In the...

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ژورنال

عنوان ژورنال: Electronic Notes in Theoretical Computer Science

سال: 2007

ISSN: 1571-0661

DOI: 10.1016/j.entcs.2007.01.065