Paper 2018/458 Original: eprint.iacr.org/2018/458 ↗

Characterizing Collision and Second-Preimage Resistance in Linicrypt

Ian McQuoid
Trevor Swope
Mike Rosulek
Abstract

Linicrypt (Carmer & Rosulek, Crypto 2016) refers to the class of algorithms that make calls to a random oracle and otherwise manipulate values via fixed linear operations. We give a characterization of collision-resistance and second-preimage resistance for a significant class of Linicrypt programs (specifically, those that achieve domain separation on their random oracle queries via nonces). Our characterization implies that collision-resistance and second-preimage resistance are equivalent, in an asymptotic sense, for this class. Furthermore, there is a polynomial-time procedure for determining whether such a Linicrypt program is collision/second-preimage resistant.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2020-07-24: last updated
2018-05-21: published
Short URL
https://ia.cr/2018/458
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2018/458,
      author = {Ian McQuoid and Trevor Swope and Mike Rosulek},
      title = {Characterizing Collision and Second-Preimage Resistance in Linicrypt},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/458},
      year = {2018},
      url = {https://eprint.iacr.org/2018/458}
}
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