The Torsion-Limit for Algebraic Function Fields and Its Application to Arithmetic Secret Sharing

Abstract

An (n, t, d, n−t)-arithmetic secret sharing scheme (with uniformity) for Fq over Fq is an Fq-linear secret sharing scheme where the secret is selected from Fq and each of the n shares is an element of Fq. Moreover, there is t-privacy (in addition, any t shares are uniformly random in Fq) and, if one considers the d-fold “component-wise” product of any d… (More)
DOI: 10.1007/978-3-642-22792-9_39
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@inproceedings{Cascudo2011TheTF, title={The Torsion-Limit for Algebraic Function Fields and Its Application to Arithmetic Secret Sharing}, author={Ignacio Cascudo and Ronald Cramer and Chaoping Xing}, booktitle={CRYPTO}, year={2011} }