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Two Rounds Were the Minimum for This Quantum-Secure Cipher

The Even-Mansour construction survived adaptive forward and inverse quantum queries in the ideal-permutation model.

Published Updated Story ID: mp-2026-10-01-015
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Summary

The Even-Mansour construction survived adaptive forward and inverse quantum queries in the ideal-permutation model.

The authors prove information-theoretic security for the two-round Even-Mansour cipher against polynomially many adaptive quantum queries to all available oracles. They also show that essentially any construction with only one public-permutation call is quantumly insecure, making two rounds minimal within the stated model.

Why it matters

The Even-Mansour construction survived adaptive forward and inverse quantum queries in the ideal-permutation model.

Limits and context

  • They also show that essentially any construction with only one public-permutation call is quantumly insecure, making two rounds minimal within the stated model.

Key claims

  1. The Even-Mansour construction survived adaptive forward and inverse quantum queries in the ideal-permutation model.

    Qualification: They also show that essentially any construction with only one public-permutation call is quantumly insecure, making two rounds minimal within the stated model.

    Evidence: source-2026-10-01-017

Sources

  1. arXiv preprint 2609.40350arXiv · primary research

Corrections

No corrections have been recorded for this story.