Cryptology ePrint Archive: Report 2014/322

Coding Theoretic Construction of Quantum Ramp Secret Sharing

Ryutaroh Matsumoto

Abstract: We show a construction of a quantum ramp secret sharing scheme from a nested pair of linear codes. Necessary and sufficient conditions for qualified sets and forbidden sets are given in terms of combinatorial properties of nested linear codes. An algebraic geometric construction for quantum secret sharing is also given.

Category / Keywords: cryptographic protocols / quantum cryptography, secret sharing

Date: received 6 May 2014, last revised 7 Jul 2014

Contact author: ryutaroh at it ce titech ac jp

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Version: 20140708:041106 (All versions of this report)

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