# Non-malleable codes from average-case hardness:, decision trees, and streaming space-bounded tampering

Marshall Ball, Dana Dachman-Soled, Mukul Kulkarni, Tal Malkin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

## Abstract

We show a general framework for constructing non-malleable codes against tampering families with average-case hardness bounds. Our framework adapts ideas from the Naor-Yung double encryption paradigm such that to protect against tampering in a class$${\mathcal {F}}$$, it suffices to have average-case hard distributions for the class, and underlying primitives (encryption and non-interactive, simulatable proof systems) satisfying certain properties with respect to the class. We instantiate our scheme in a variety of contexts, yielding efficient, non-malleable codes (NMC) against the following tampering classes: Computational NMC against$${\mathsf {A}}{\mathsf {C}}^0$$ tampering, in the CRS model, assuming a PKE scheme with decryption in$${\mathsf {A}}{\mathsf {C}}^0$$ and NIZK.Computational NMC against bounded-depth decision trees (of depth$$n^\epsilon$$, where n is the number of input variables and constant$$0<\epsilon<1$$ ), in the CRS model and under the same computational assumptions as above.Information theoretic NMC (with no CRS) against a streaming, space-bounded adversary, namely an adversary modeled as a read-once branching program with bounded width. Ours are the first constructions that achieve each of the above in an efficient way, under the standard notion of non-malleability.

Original language English (US) Advances in Cryptology - EUROCRYPT 2018 - 37th Annual International Conference on the Theory and Applications of Cryptographic Techniques, 2018 Proceedings Jesper Buus Nielsen, Vincent Rijmen Springer Verlag 618-650 33 9783319783710 https://doi.org/10.1007/978-3-319-78372-7_20 Published - 2018 37th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2018 - Tel Aviv, IsraelDuration: Apr 29 2018 → May 3 2018

### Publication series

Name Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 10822 LNCS 0302-9743 1611-3349

### Other

Other 37th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2018 Israel Tel Aviv 4/29/18 → 5/3/18

## ASJC Scopus subject areas

• Theoretical Computer Science
• Computer Science(all)

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