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

Ramamonjy Andriamifidisoa, Rufine Marius Lalasoa · 2026 · arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.26642 · cited by 0 works (OpenAlex) · open-access PDF

Arabic

ونحن نقدم معالجة رسمية لفرق DM-RSA، والذي يستخدم ماكينات مستقلة، والتي تم قطعها من قبل هجوم هاساستد، وتحتوي على شكاوى صارمة على التسامح. نحن نقدم معالجة رسمية لفرقها المعدل، DM-RSA-OAEP: (i) إثبات كاملة IND-CCA2 الأمنية في نموذج الفصل العنصري، من خلال استطلاع اثنين خطوة، وتحديد أقصى حدود الأمنية للمشروع من خلال فرضية الفلسفة الفلسفية المحددة بشكل واضح RSA-OAEP، مع خسارة نموذجية صريحة؛ (ii) إثبات نظرية الفشل في اكتشاف الفشل في نموذج مخالف واضح يغطي الحسابات، الهواتف الذكية، والخ

Machine translation (Meta M2M100); the English original follows.

Abstract

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. We give a formal treatment of its repaired variant, DM-RSA-OAEP: (i) a complete IND-CCA2 security proof in the random-oracle model via a two-step hybrid argument, upper-bounding the security of the scheme by that of the weaker underlying RSA-OAEP instance, with an explicit simulation loss; (ii) a fault-detection theorem in an explicit adversary model that covers computation, key, and verification faults, including safe-error attacks, under a clearly stated physical-diversity assumption; (iii) an explicit analysis of why the countermeasure degrades to uselessness when the diversity assumption is violated (common-mode faults on a single chip). We position the scheme against the countermeasure landscape and against the broken dual-modulus literature. The contribution is deliberately framed as a fault countermeasure with a provable detection guarantee, not as a computationally stronger RSA. We conclude with a concrete instantiation and a detailed measurement protocol.

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Topics: Countermeasure, Adversary, Computer security, Scheme (mathematics), Computer science, Diversity (politics)

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