Strong Security of the Strongly Multiplicative Ramp Secret Sharing based on Algebraic Curves

Ryutaroh Matsumoto

Paper 2015/662

Strong Security of the Strongly Multiplicative Ramp Secret Sharing based on Algebraic Curves

Ryutaroh Matsumoto

Abstract

We introduce a coding theoretic criterion for Yamamoto's strong security of the ramp secret sharing scheme. After that, by using it, we show the strong security of the strongly multiplicative ramp secret sharing proposed by Chen et al. in 2008.

Note: (C) 2015 IEICE. Published in IEICE Trans. Fundamentals, vol. E98-A, no. 7, pp. 1576-1678, July 2015. The journal webpage is http://search.ieice.org Posting of the published PDF as allowed as specified in p.13 of https://www.ieice.org/eng/copyright/files/copyright.pdf

Metadata

Available format(s): PDF
Category: Cryptographic protocols
Publication info: Published elsewhere. IEICE Trans. Fundamentals
DOI: 10.1587/transfun.E98.A.1576
Keywords: ramp secret sharing multiplicative secret sharing strong security algebraic geometry code
Contact author(s): ryutaroh @ it ce titech ac jp
History: 2015-07-02: received
Short URL: https://ia.cr/2015/662
License: CC BY

BibTeX

@misc{cryptoeprint:2015/662,
      author = {Ryutaroh Matsumoto},
      title = {Strong Security of the Strongly Multiplicative Ramp Secret Sharing based on Algebraic Curves},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/662},
      year = {2015},
      doi = {10.1587/transfun.E98.A.1576},
      url = {https://eprint.iacr.org/2015/662}
}