Geometric and Computational Approach to Classical and Quantum Secret Sharing

Matsumoto, Ryutaroh; Ruano Benito, Diego

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Título

Geometric and Computational Approach to Classical and Quantum Secret Sharing

Autor

Matsumoto, Ryutaroh

Ruano Benito, Diego

Año del Documento

2017

Descripción

Producción Científica

Documento Fuente

Geometric and Computational Approach to Classical and Quantum Secret Sharing. In: Applications of Computer Algebra. ACA 2015. Kotsireas I., Martínez-Moro E. (eds). Springer Proceedings in Mathematics & Statistics, vol 198. Springer, pages 267-272 (2017)

Resumo

Linear ramp secret sharing schemes are given by a pair of nested codes. In this work algebraic geometry codes are considered. We found sufficient conditions for qualified or forbidden sets by using geometric properties of the set of points. This article considers both classical schemes and quantum schemes.

Patrocinador

The authors gratefully acknowledge the support from Japan Society for the Promotion of Science (Grant Nos. 23246071 and 26289116), from the Spanish MINECO (Grant No. MTM2012-36917-C03-03), the Danish Council for Independent Research (Grant No. DFF-4002-00367) and from the "Program for Promoting the Enhancement of Research Universities'' at Tokyo Institute of Technology.

Version del Editor

http://doi.org/10.1007/978-3-319-56932-1_18