Coding Theoretic Construction of Quantum Ramp Secret Sharing

Ryutaroh MATSUMOTO  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E101-A   No.8   pp.1215-1222
Publication Date: 2018/08/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E101.A.1215
Type of Manuscript: PAPER
Category: Coding Theory
algebraic geometry code,  non-perfect secret sharing,  quantum secret sharing,  ramp secret sharing,  

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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.