Cryptology ePrint Archive: Report 2011/415

On the Access Structures of Hyperelliptic Secret Sharing

Lei Li and Siman Yang

Abstract: In this paper we partially determine the access structures of algebraic geometric secret sharing schemes from one point algebraic geometric codes associated with a hyperelliptic curve of any genus. Our result includes the access structures of elliptic secret sharing schemes as a special case.

Category / Keywords: secret sharing, access structure, algebraic-geometric code, hyperelliptic

Publication Info: Announced on Fq 10

Date: received 1 Aug 2011, last revised 10 Aug 2011

Contact author: smyang at math ecnu edu cn

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Version: 20110810:155613 (All versions of this report)

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