Paper 2020/794

Symbolic and Computational Reasoning About Cryptographic Modes of Operation

Catherine Meadows

Abstract

In this paper we develop symbolic and computational representations for a class of cryptographic modes of operation, where the symbolic representations are modeled as elements of a term algebra, and we apply them to the analysis of the computational security of the modes. We derive two different conditions on the symbolic representations, a simple one that is sufficient for security, and a more complex one that is both necessary and sufficient, and prove that these properties hold. The problem of deciding computational security then is reduced to the problem of solving certain disunification problems. We also discuss how these results can be extended.

Note: Corrects some typos and clarifies some issues from the previous version.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint. MAJOR revision.
Keywords
Cryptographic Modes of OperationsSymbolic Security
Contact author(s)
catherine meadows @ nrl navy mil
History
2020-09-08: last of 3 revisions
2020-06-27: received
See all versions
Short URL
https://ia.cr/2020/794
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2020/794,
      author = {Catherine Meadows},
      title = {Symbolic and Computational Reasoning About Cryptographic Modes of Operation},
      howpublished = {Cryptology ePrint Archive, Paper 2020/794},
      year = {2020},
      note = {\url{https://eprint.iacr.org/2020/794}},
      url = {https://eprint.iacr.org/2020/794}
}
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