Strongly secure quantum ramp secret sharing constructed from algebraic curves over finite fields

Ryutaro Yamashita

doi:10.3934/amc.2019001

Strongly secure quantum ramp secret sharing constructed from algebraic curves over finite fields

Ryutaro Yamashita

Research output: Contribution to journal › Journal article › Research › peer-review

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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.

Original language	English
Journal	Advances in Mathematics of Communication
Volume	13
Issue number	1
Pages (from-to)	1-10
Number of pages	10
ISSN	1930-5346
DOIs	https://doi.org/10.3934/amc.2019001
Publication status	Published - 2019

Keywords

Algebraic curve
Non-perfect secret sharing
Quantum secret sharing
Ramp secret sharing

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10.3934/amc.2019001

https://arxiv.org/pdf/1410.5126.pdf

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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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AB - 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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Strongly secure quantum ramp secret sharing constructed from algebraic curves over finite fields

Abstract

Keywords

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