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.
Ryutaroh MATSUMOTO
Nagoya University
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Ryutaroh MATSUMOTO, "Coding Theoretic Construction of Quantum Ramp Secret Sharing" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 8, pp. 1215-1222, August 2018, doi: 10.1587/transfun.E101.A.1215.
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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.1215/_p
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@ARTICLE{e101-a_8_1215,
author={Ryutaroh MATSUMOTO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Coding Theoretic Construction of Quantum Ramp Secret Sharing},
year={2018},
volume={E101-A},
number={8},
pages={1215-1222},
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.},
keywords={},
doi={10.1587/transfun.E101.A.1215},
ISSN={1745-1337},
month={August},}
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TY - JOUR
TI - Coding Theoretic Construction of Quantum Ramp Secret Sharing
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1215
EP - 1222
AU - Ryutaroh MATSUMOTO
PY - 2018
DO - 10.1587/transfun.E101.A.1215
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2018
AB - 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.
ER -