Coding Theoretic Construction of Quantum Ramp Secret Sharing

Ryutaroh Matsumoto

Paper 2014/322

Coding Theoretic Construction of Quantum Ramp Secret Sharing

Ryutaroh Matsumoto

Abstract

We show a construction of a quantum ramp secret sharing scheme from a nested pair of linear codes. Necessary and sufficient conditions for qualified sets and forbidden sets are given in terms of combinatorial properties of nested linear codes. An algebraic geometric construction for quantum secret sharing is also given.

Note: Compressed version submitted to 4ICMCTA http://icmcta.web.ua.pt/ The same eprint is also available from http://arxiv.org/abs/1405.0149

Metadata

Available format(s): PDF
Category: Cryptographic protocols
Publication info: Preprint. MINOR revision.
Keywords: quantum cryptography secret sharing
Contact author(s): ryutaroh @ it ce titech ac jp
History: 2014-07-08: last of 2 revisions; 2014-05-07: received; See all versions
Short URL: https://ia.cr/2014/322
License: CC BY

BibTeX

@misc{cryptoeprint:2014/322,
      author = {Ryutaroh Matsumoto},
      title = {Coding Theoretic Construction of Quantum Ramp Secret Sharing},
      howpublished = {Cryptology {ePrint} Archive, Paper 2014/322},
      year = {2014},
      url = {https://eprint.iacr.org/2014/322}
}