A rate-optimizing compiler for non-malleable codes against bit-wise tampering and permutations

Shashank Agrawal, Divya Gupta, Hemanta K. Maji, Omkant Pandey, Manoj Prabhakaran

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

Abstract

A non-malleable code protects messages against a class of tampering functions. Informally, a code is non-malleable if the effect of applying any tampering function on an encoded message is to either retain the message or to replace it with an unrelated message. Two main challenges in this area – apart from establishing the feasibility against different families of tampering – are to obtain explicit constructions and to obtain high-rates for such constructions. In this work, we present a compiler to transform low-rate (in fact, zero rate) non-malleable codes against certain class of tampering into an optimal-rate – i.e., rate 1 – non-malleable codes against the same class. If the original code is explicit, so is the new one. When applied to the family of bit-wise tampering functions, this subsumes (and greatly simplifies) a recent result of Cheraghchi and Guruswami (TCC 2014). Further, our compiler can be applied to nonmalleable codes against the class of bit-wise tampering and bit-level permutations. Combined with the rate-0 construction in a companion work, this yields the first explicit rate-1 non-malleable code for this family of tampering functions. Our compiler uses a new technique for boot-strapping non-malleability by introducing errors, that may be of independent interest.

Original languageEnglish (US)
Title of host publicationTheory of Cryptography - 12th Theory of Cryptography Conference, TCC 2015, Proceedings
EditorsYevgeniy Dodis, Jesper Buus Nielsen
PublisherSpringer
Pages375-397
Number of pages23
ISBN (Electronic)9783662464939
DOIs
StatePublished - 2015
Event12th Theory of Cryptography Conference, TCC 2015 - Warsaw, Poland
Duration: Mar 23 2015Mar 25 2015

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9014
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other12th Theory of Cryptography Conference, TCC 2015
Country/TerritoryPoland
CityWarsaw
Period3/23/153/25/15

Keywords

  • Explicit construction
  • Information theoretic
  • Non-malleable codes
  • Rate 1
  • Rate-optimizing compiler

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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