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Strongly Secure Quantum Ramp Secret Sharing Constructed from Algebraic Curves over Finite Fields

arXiv
Authors: Ryutaroh Matsumoto

Year

2014

Paper ID

46904

Status

Preprint

Abstract Read

~2 min

Abstract Words

59

Citations

N/A

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.

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  • 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...

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