Construction of Arithmetic Secret Sharing Schemes by Using  Torsion Limits

Seher Tutdere; Osmanbey Uzunkol

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 fields torsion limits Riemann-Roch systems of equations arithmetic 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: 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},
      url = {https://eprint.iacr.org/2015/619}
}