Detecting General Algebraic Manipulation Attacks

Kim Ramchen

Paper 2017/157

Detecting General Algebraic Manipulation Attacks

Kim Ramchen

Abstract

Algebraic manipulation detection codes are a class of error detecting codes which have found numerous applications in cryptography. In this paper we extend these codes to defeat general algebraic attacks - we call such codes general algebraic manipulation detection (GAMD) codes. Positive results are shown for the existence of GAMDs for the families of tampering functions corresponding to point additions and polynomial functions over a finite field. Compared to non-malleable codes, we demonstrate both positive and negative results regarding the existence of GAMDs for arbitrary families of tampering functions.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint. MINOR revision.
Contact author(s): kim ramchen @ unimelb edu au
History: 2018-08-12: last of 3 revisions; 2017-02-22: received; See all versions
Short URL: https://ia.cr/2017/157
License: CC BY

BibTeX

@misc{cryptoeprint:2017/157,
      author = {Kim Ramchen},
      title = {Detecting General Algebraic Manipulation Attacks},
      howpublished = {Cryptology ePrint Archive, Paper 2017/157},
      year = {2017},
      note = {\url{https://eprint.iacr.org/2017/157}},
      url = {https://eprint.iacr.org/2017/157}
}