Strongly Secure Quantum Ramp Secret Sharing Constructed from Algebraic Curves over Finite Fields
Quantum Physics
2019-04-04 v1 Cryptography and Security
Information Theory
Algebraic Geometry
math.IT
Abstract
The first construction of strongly secure quantum ramp secret sharing by Zhang and Matsumoto had an undesirable feature that the dimension of quantum shares must be larger than the number of shares. By using algebraic curves over finite fields, we propose a new construction in which the number of shares can become arbitrarily large for fixed dimension of shares.
Keywords
Cite
@article{arxiv.1410.5126,
title = {Strongly Secure Quantum Ramp Secret Sharing Constructed from Algebraic Curves over Finite Fields},
author = {Ryutaroh Matsumoto},
journal= {arXiv preprint arXiv:1410.5126},
year = {2019}
}
Comments
svjour3.cls, 8 pages, no figure