Secret Sharing Schemes Based on Resilient Boolean Maps

Juan Carlos Ku-Cauich; Guillermo Morales-Luna

Paper 2015/1124

Secret Sharing Schemes Based on Resilient Boolean Maps

Juan Carlos Ku-Cauich and Guillermo Morales-Luna

Abstract

We introduce a linear code based on resilient maps on vector spaces over finite fields, we give a basis of this code and upper and lower bounds for its minimal distance. Then the use of the introduced code for building vector space secret sharing schemes is explained and an estimation of the robustness of the schemes against cheaters is provided.

Metadata

Available format(s): PDF
Publication info: Preprint. MAJOR revision.
Keywords: Secret sharing schemes Cheater detection Resilient maps Vector linear codes
Contact author(s): jckc35 @ hotmail com
History: 2018-03-23: revised; 2015-11-22: received; See all versions
Short URL: https://ia.cr/2015/1124
License: CC BY

BibTeX

@misc{cryptoeprint:2015/1124,
      author = {Juan Carlos Ku-Cauich and Guillermo Morales-Luna},
      title = {Secret Sharing Schemes Based on Resilient Boolean Maps},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/1124},
      year = {2015},
      url = {https://eprint.iacr.org/2015/1124}
}