Cryptology ePrint Archive: Report 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.

Category / Keywords: foundations / Algebraic function fields, torsion limits, Riemann-Roch systems of equations, arithmetic secret sharing schemes.

Date: received 22 Jun 2015, last revised 12 Jan 2016

Contact author: osmanbey uzunkol at tubitak gov tr

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Note: Some typos are corrected.

Version: 20160112:204648 (All versions of this report)

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