Construction of Arithmetic Secret Sharing Schemes by Using Torsion Limits
classification
🧮 math.NT
keywords
limitstorsionarithmeticboundsconstructionfieldsfunctionschemes
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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.
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