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

DOI10.3934/amc.2019001zbMath1407.81086OpenAlexW2964071170WikidataQ128708662 ScholiaQ128708662MaRDI QIDQ1726005

Ryutaroh Matsumoto

Publication date: 15 February 2019

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2019001

zbMATH Keywords

algebraic curvequantum secret sharingramp secret sharingnon-perfect secret sharing

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Authentication, digital signatures and secret sharing (94A62) Quantum cryptography (quantum-theoretic aspects) (81P94)

Cites Work

• Strongly secure ramp secret sharing schemes for general access structures
• Quantum strongly secure ramp secret sharing
• Security of Ramp Schemes
• How to share a secret
• Threshold Secret Sharing Requires a Linear Size Alphabet
• Algebraic Function Fields and Codes
• Improved Bounds on the Threshold Gap in Ramp Secret Sharing
• Bounds on the Threshold Gap in Secret Sharing and its Applications
• Strongly Multiplicative Ramp Schemes from High Degree Rational Points on Curves
• Algebraic Geometric Secret Sharing Schemes and Secure Multi-Party Computations over Small Fields

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