Aps and non-interactive witness indistinguishability from indistinguishability obfuscation

Nir Bitansky; Omer Paneth

doi:10.1007/978-3-662-46497-7_16

Aps and non-interactive witness indistinguishability from indistinguishability obfuscation

Nir Bitansky, Omer Paneth

Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We present new constructions of two-message and onemessage witness-indistinguishable proofs (ZAPs and NIWIs). This includes: – ZAPs (or, equivalently, non-interactive zero-knowledge in the common random string model) from indistinguishability obfuscation and one-way functions. – NIWIs from indistinguishability obfuscation and one-way permutations. The previous construction of ZAPs [Dwork and Naor, FOCS 00] was based on trapdoor permutations. The two previous NIWI constructions were based either on ZAPs and a derandomization-type complexity assumption [Barak, Ong, and Vadhan CRYPTO 03], or on a specific number theoretic assumption in bilinear groups [Groth, Sahai, and Ostrovsky, CRYPTO 06].

Original language	English (US)
Title of host publication	Theory of Cryptography - 12th Theory of Cryptography Conference, TCC 2015, Proceedings
Editors	Yevgeniy Dodis, Jesper Buus Nielsen
Publisher	Springer Verlag
Pages	401-427
Number of pages	27
ISBN (Electronic)	9783662464960
DOIs	https://doi.org/10.1007/978-3-662-46497-7_16
State	Published - 2015
Event	12th Theory of Cryptography Conference, TCC 2015 - Warsaw, Poland Duration: Mar 23 2015 → Mar 25 2015

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	9015
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	12th Theory of Cryptography Conference, TCC 2015
Country/Territory	Poland
City	Warsaw
Period	3/23/15 → 3/25/15

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-662-46497-7_16

Cite this

Bitansky, N., & Paneth, O. (2015). Aps and non-interactive witness indistinguishability from indistinguishability obfuscation. In Y. Dodis, & J. B. Nielsen (Eds.), Theory of Cryptography - 12th Theory of Cryptography Conference, TCC 2015, Proceedings (pp. 401-427). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9015). Springer Verlag. https://doi.org/10.1007/978-3-662-46497-7_16

Aps and non-interactive witness indistinguishability from indistinguishability obfuscation. / Bitansky, Nir; Paneth, Omer.
Theory of Cryptography - 12th Theory of Cryptography Conference, TCC 2015, Proceedings. ed. / Yevgeniy Dodis; Jesper Buus Nielsen. Springer Verlag, 2015. p. 401-427 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Bitansky, N & Paneth, O 2015, Aps and non-interactive witness indistinguishability from indistinguishability obfuscation. in Y Dodis & JB Nielsen (eds), Theory of Cryptography - 12th Theory of Cryptography Conference, TCC 2015, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9015, Springer Verlag, pp. 401-427, 12th Theory of Cryptography Conference, TCC 2015, Warsaw, Poland, 3/23/15. https://doi.org/10.1007/978-3-662-46497-7_16

Bitansky N, Paneth O. Aps and non-interactive witness indistinguishability from indistinguishability obfuscation. In Dodis Y, Nielsen JB, editors, Theory of Cryptography - 12th Theory of Cryptography Conference, TCC 2015, Proceedings. Springer Verlag. 2015. p. 401-427. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-662-46497-7_16

Bitansky, Nir ; Paneth, Omer. / Aps and non-interactive witness indistinguishability from indistinguishability obfuscation. Theory of Cryptography - 12th Theory of Cryptography Conference, TCC 2015, Proceedings. editor / Yevgeniy Dodis ; Jesper Buus Nielsen. Springer Verlag, 2015. pp. 401-427 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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AB - We present new constructions of two-message and onemessage witness-indistinguishable proofs (ZAPs and NIWIs). This includes: – ZAPs (or, equivalently, non-interactive zero-knowledge in the common random string model) from indistinguishability obfuscation and one-way functions. – NIWIs from indistinguishability obfuscation and one-way permutations. The previous construction of ZAPs [Dwork and Naor, FOCS 00] was based on trapdoor permutations. The two previous NIWI constructions were based either on ZAPs and a derandomization-type complexity assumption [Barak, Ong, and Vadhan CRYPTO 03], or on a specific number theoretic assumption in bilinear groups [Groth, Sahai, and Ostrovsky, CRYPTO 06].

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Aps and non-interactive witness indistinguishability from indistinguishability obfuscation

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