Welcome to the resource topic for
**2017/473**

**Title:**

Encrypted Davies-Meyer and Its Dual: Towards Optimal Security Using Mirror Theory

**Authors:**
Bart Mennink, Samuel Neves

**Abstract:**

At CRYPTO 2016, Cogliati and Seurin introduced the Encrypted Davies-Meyer construction, p_2(p_1(x) \oplus x) for two n-bit permutations p_1,p_2, and proved security up to 2^{2n/3}. We present an improved security analysis up to 2^n/(67n). Additionally, we introduce the dual of the Encrypted Davies-Meyer construction, p_2(p_1(x)) \oplus p_1(x), and prove even tighter security for this construction: 2^n/67. We finally demonstrate that the analysis neatly generalizes to prove almost optimal security of the Encrypted Wegman-Carter with Davies-Meyer MAC construction. Central to our analysis is a modernization of Patarinâ€™s mirror theorem and an exposition of how it relates to fundamental cryptographic problems.

**ePrint:**
https://eprint.iacr.org/2017/473

**Talk: **https://www.youtube.com/watch?v=MvJ95FxIvdk

See all topics related to this paper.

Feel free to post resources that are related to this paper below.

**Example resources include:**
implementations, explanation materials, talks, slides, links to previous discussions on other websites.

For more information, see the rules for Resource Topics .