Coding Theoretic Construction of Quantum Ramp Secret Sharing
Information Theory
2018-08-10 v5 Algebraic Geometry
Combinatorics
math.IT
Quantum Physics
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.
Cite
@article{arxiv.1405.0149,
title = {Coding Theoretic Construction of Quantum Ramp Secret Sharing},
author = {Ryutaroh Matsumoto},
journal= {arXiv preprint arXiv:1405.0149},
year = {2018}
}
Comments
svjour3.cls, 12 pages, no figure. Version 5 added citations to relevant prior papers that were missing in previous versions. Contents unchanged