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

  • * Corresponding author

    * Corresponding author
This research is partly supported by the National Institute of Information and Communications Technology, Japan, and by the Japan Society for the Promotion of Science Grant Nos. 23246071 and 26289116, and the Villum Foundation through their VELUX Visiting Professor Programme 2013-2014.
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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 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.

    Mathematics Subject Classification: Primary: 81P94; Secondary: 94A62, 94B27.

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