2000Journal of Information Engineering InstituteRequires access

The Shifting of Secret Sharing Schemes

Feng Gao

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Abstract

Suppose P={p 1,p 2,…,p n} is the set of participants ,and Γ2 P is an access structure over P .In this paper the concept of the shifting of a secret sharing scheme is introduced.From one secret sharing scheme,we can get another through such a shifting.Moreover,the relation is discussed between ideal secret sharing schemes and ideal homomorphic secret sharing schemes over GF(3) realizing an access structure Γ.

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What this paper is about

Suppose P={p 1,p 2,…,p n} is the set of participants ,and Γ2 P is an access structure over P .In this paper the concept of the shifting of a secret sharing scheme is introduced.From one secret sharing scheme,we can get another through such a shifting.Moreover,the relation is discussed between ideal secret sharing schemes and ideal homomorphic secret sharing schemes over GF(3) realizing an access structure Γ.

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Available abstract

Suppose P={p 1,p 2,…,p n} is the set of participants ,and Γ2 P is an access structure over P .In this paper the concept of the shifting of a secret sharing scheme is introduced.From one secret sharing scheme,we can get another through such a shifting.Moreover,the relation is discussed between ideal secret sharing schemes and ideal homomorphic secret sharing schemes over GF(3) realizing an access structure Γ.

Key concepts: Secret sharing, Access structure, Homomorphic secret sharing, Computer science, Secure multi-party computation, Ideal (ethics), Scheme (mathematics), Verifiable secret sharing

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