Cryptology ePrint Archive: Report 2012/680

Natural Generalizations of Threshold Secret Sharing

Oriol Farras,Carles Padro,Chaoping Xing, and An Yang

Abstract: We present new families of access structures that, similarly to the multilevel and compartmented access structures introduced in previous works, are natural generalizations of threshold secret sharing. Namely, they admit an ideal linear secret sharing schemes over every large enough finite field, they can be described by a small number of parameters, and they have useful properties for the applications of secret sharing. The use of integer polymatroids makes it possible to find many new such families and it simplifies in great measure the proofs for the existence of ideal secret sharing schemes for them.

Category / Keywords: cryptographic protocols / Cryptography, secret sharing, ideal secret sharing schemes, multipartite secret sharing, integer polymatroids

Publication Info: The material in this paper was presented in part at Asiacrypt 2011, Seoul, South Korea, and an earlier version of this paper was published in the Proceedings of Asiacrypt 2011.

Date: received 3 Dec 2012

Contact author: yang0246 at e ntu edu sg

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Version: 20121210:104029 (All versions of this report)

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