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Paper: Simplifying Game-Based Definitions

Authors:
Phillip Rogaway
Yusi Zhang
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DOI: 10.1007/978-3-319-96881-0_1
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Presentation: Slides
Conference: CRYPTO 2018
Abstract: Often the simplest way of specifying game-based cryptographic definitions is apparently barred because the adversary would have some trivial win. Disallowing or invalidating these wins can lead to complex or unconvincing definitions. We suggest a generic way around this difficulty. We call it indistinguishability up to correctness, or IND$$\vert $$C. Given games $${{\text {G}}}$$ and $${{\text {H}}}$$ and a correctness condition $${{\text {C}}}$$ we define an advantage measure $${\mathbf {Adv}_{{{\text {G}}},{{\text {H}}},{{\text {C}}}}^{{\text {indc}}}}$$ wherein $${{{\text {G}}}}$$/$${{{\text {H}}}}$$ distinguishing attacks are effaced to the extent that they are inevitable due to $${{\text {C}}}$$. We formalize this in the language of oracle silencing, an alternative to exclusion-style and penalty-style definitions. We apply our ideas to a domain where game-based definitions have been cumbersome: stateful authenticated-encryption (sAE). We rework existing sAE notions and encompass new ones, like replay-free AE permitting a specified degree of out-of-order message delivery.
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BibTeX
@inproceedings{crypto-2018-28814,
  title={Simplifying Game-Based Definitions},
  booktitle={Advances in Cryptology – CRYPTO 2018},
  series={Lecture Notes in Computer Science},
  publisher={Springer},
  volume={10992},
  pages={3-32},
  doi={10.1007/978-3-319-96881-0_1},
  author={Phillip Rogaway and Yusi Zhang},
  year=2018
}