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Basics of Efficient Secure Function Evaluation

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Engineering Secure Two-Party Computation Protocols

Abstract

We start this chapter with common notation and definitions used in this book (Sect. 2.1). Afterwards, we summarize cryptographic primitives which are used in state-of-the-art protocols for practically efficient SFE in Sect. 2.2. Finally, we show how these primitives, in particular GC, can be used for practically efficient SFE protocols in the two- and multi-party setting (Sect. 2.3).

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Notes

  1. 1.

    If \(\mathcal S \) is malicious, it must additionally be ensured that he indeed computed the intended functionality by means of verifiable computing (cf. Sect. 4.3.3.2).

  2. 2.

    We note that the GC construction of Yu et al. [233, Sect. 3.3] is less efficient as garbled tables are larger and require slightly more computation.

  3. 3.

    This is the reason for our choice of notation \(\mathsf {OT} _{t^{\prime }}^{n}\) instead of \(n \times \mathsf {OT} ^{t^{\prime }}\).

  4. 4.

    If needed, SFE can be extended s.t. the function is known to only one of the parties and hidden from the other as described in Sect. 2.3.1.3.

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Correspondence to Thomas Schneider .

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© 2012 Springer-Verlag Berlin Heidelberg

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Schneider, T. (2012). Basics of Efficient Secure Function Evaluation. In: Engineering Secure Two-Party Computation Protocols. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30042-4_2

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  • DOI: https://doi.org/10.1007/978-3-642-30042-4_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30041-7

  • Online ISBN: 978-3-642-30042-4

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