Paper 2021/1042
Rate One-Third Non-malleable Codes
Divesh Aggarwal, Sruthi Sekar, Bhavana Kanukurthi, Maciej Obremski, and Sai Lakshmi Bhavana Obbattu
Abstract
At ITCS 2010, Dziembowski, Pietrzak, and Wichs introduced Non-malleable Codes (NMCs) which protect against tampering of a codeword of a given message into the codeword of a related message. A well-studied model of tampering is the $2$-split-state model where the codeword consists of two independently tamperable states. As with standard error-correcting codes, it is of great importance to build codes with high rates. Following a long line of work, Aggarwal and Obremski (FOCS 2020) showed the first constant rate non-malleable code in the $2-$split state model; however this constant was a minuscule $10^{-6}$! In this work, we build a Non-malleable Code with rate $1/3$. This nearly matches the rate $1/2$ lower bound for this model due to Cheraghchi and Guruswami (ITCS 2014). Our construction is simple, requiring just an inner-product extractor, a seeded extractor, and an affine-evasive function.
Note: The author ordering is randomized here.
Metadata
- Available format(s)
-
PDF
- Category
- Foundations
- Publication info
- Published elsewhere. STOC 2022
- Keywords
- Non-malleable CodesExtractorsInformation theoretic Cryptographynon-malleable commitments
- Contact author(s)
-
dcsdiva @ nus edu sg
bhavana @ iisc ac in
oslbhavana @ gmail com
obremski math @ gmail com
sruthi sekar1 @ gmail com - History
- 2022-03-04: last of 2 revisions
- 2021-08-16: received
- See all versions
- Short URL
- https://ia.cr/2021/1042
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2021/1042,
author = {Divesh Aggarwal and Sruthi Sekar and Bhavana Kanukurthi and Maciej Obremski and Sai Lakshmi Bhavana Obbattu},
title = {Rate One-Third Non-malleable Codes},
howpublished = {Cryptology {ePrint} Archive, Paper 2021/1042},
year = {2021},
url = {https://eprint.iacr.org/2021/1042}
}
