Paper 2015/324 Original: eprint.iacr.org/2015/324 ↗

A Note on Lower Bounds for Non-interactive Message Authentication Using Weak Keys

Divesh Aggarwal
Alexander Golovnev
Abstract

In this note, we prove lower bounds on the amount of entropy of random sources necessary for secure message authentication. We consider the problem of non-interactive c-time message authentication using a weak secret key having min-entropy k. We show that existing constructions using (c+1)-wise independent hash functions are optimal. This result resolves one of the main questions left open by the work of Dodis and Spencer [DS02] who considered this problem for one-time message authentication of one-bit messages.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2015-08-07: last updated
2015-04-11: published
Short URL
https://ia.cr/2015/324
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2015/324,
      author = {Divesh Aggarwal and Alexander Golovnev},
      title = {A Note on Lower Bounds for Non-interactive Message Authentication Using Weak Keys},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/324},
      year = {2015},
      url = {https://eprint.iacr.org/2015/324}
}
Note: In order to protect the privacy of readers, this archive does not use cookies or embedded third party content.