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DOI: 10.4230/LIPIcs.ITCS.2024.14

Homomorphic Indistinguishability Obfuscation and Its Applications

Authors: Kaartik Bhushan, Venkata Koppula, and Manoj Prabhakaran

Published in: LIPIcs, Volume 287, 15th Innovations in Theoretical Computer Science Conference (ITCS 2024)

Abstract

In this work, we propose the notion of homomorphic indistinguishability obfuscation (HiO) and present a construction based on subexponentially-secure iO and one-way functions. An HiO scheme allows us to convert an obfuscation of circuit C to an obfuscation of C'∘C, and this can be performed obliviously (that is, without knowing the circuit C). A naïve solution would be to obfuscate C'∘iO(C). However, if we do this for k hops, then the size of the final obfuscation is exponential in k. HiO ensures that the size of the final obfuscation remains polynomial after repeated compositions. As an application, we show how to build function-hiding hierarchical multi-input functional encryption and homomorphic witness encryption using HiO.

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Kaartik Bhushan, Venkata Koppula, and Manoj Prabhakaran. Homomorphic Indistinguishability Obfuscation and Its Applications. In 15th Innovations in Theoretical Computer Science Conference (ITCS 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 287, pp. 14:1-14:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

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@InProceedings{bhushan_et_al:LIPIcs.ITCS.2024.14,
  author =	{Bhushan, Kaartik and Koppula, Venkata and Prabhakaran, Manoj},
  title =	{{Homomorphic Indistinguishability Obfuscation and Its Applications}},
  booktitle =	{15th Innovations in Theoretical Computer Science Conference (ITCS 2024)},
  pages =	{14:1--14:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-309-6},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{287},
  editor =	{Guruswami, Venkatesan},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2024.14},
  URN =		{urn:nbn:de:0030-drops-195429},
  doi =		{10.4230/LIPIcs.ITCS.2024.14},
  annote =	{Keywords: Program Obfuscation, Homomorphisms}
}

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Homomorphic Indistinguishability Obfuscation and Its Applications

Abstract

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