Paper 2015/619

Construction of Arithmetic Secret Sharing Schemes by Using Torsion Limits

Seher Tutdere and Osmanbey Uzunkol

Abstract

Recent results of Cascudo, Cramer, and Xing on the construction of arithmetic secret sharing schemes are improved by using some new bounds on the torsion limits of algebraic function fields. Furthermore, new bounds on the torsion limits of certain towers of function fields are given.

Note: Some typos are corrected.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
Keywords
Algebraic function fieldstorsion limitsRiemann-Roch systems of equationsarithmetic secret sharing schemes.
Contact author(s)
osmanbey uzunkol @ tubitak gov tr
History
2016-01-12: revised
2015-06-30: received
See all versions
Short URL
https://ia.cr/2015/619
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2015/619,
      author = {Seher Tutdere and Osmanbey Uzunkol},
      title = {Construction of Arithmetic Secret Sharing Schemes by Using  Torsion Limits},
      howpublished = {Cryptology ePrint Archive, Paper 2015/619},
      year = {2015},
      note = {\url{https://eprint.iacr.org/2015/619}},
      url = {https://eprint.iacr.org/2015/619}
}
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.