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Paper gives DM-RSA-OAEP a formal fault-detection security treatment

Original title: DM-RSA-OAEP: Formal Treatment of a Dual-Modulus Fault-Detection Countermeasure Based on Physical Diversity

arXiv cs.CRby Ramamonjy Andriamifidisoa ()1 min read
AI summary · x-ai/grok-4.7Summaries by Vani AI

IND-CCA2 security is bounded by the weaker RSA-OAEP instance, and detection fails if both moduli share one chip’s faults.

A cs.CR paper revisits DM-RSA, a dual-modulus RSA variant whose original form was broken by Håstad’s attack and included an incorrect compromise-tolerance claim. For the repaired scheme DM-RSA-OAEP, the authors give an IND-CCA2 proof in the random-oracle model, a fault-detection theorem covering computation, key and verification faults including safe-error attacks, and an analysis showing the countermeasure becomes useless under common-mode faults when the physical-diversity assumption fails. They frame it as a detection countermeasure, not a stronger RSA, and end with a concrete instantiation and measurement protocol.

Key facts
  • The proof uses a two-step hybrid argument with an explicit simulation loss.
  • The adversary model includes computation, key and verification faults and safe-error attacks.
  • Detection relies on a stated physical-diversity assumption across independent moduli.
  • The authors say the result is not a computationally stronger RSA.
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From the original article

1 min read at arxiv.org

We revisit DM-RSA, an RSA variant that uses two independent moduli, whose original version was broken by Håstad's attack and contained an incorrect compromise-tolerance claim.

arXiv cs.CR

By Ramamonjy Andriamifidisoa · arxiv.org

Read the full article at arXiv cs.CR

A short excerpt; the article and its images belong to the publisher. Summary, key facts and assessment above are AI-written from the article and can be wrong.