A new idea for RSA backdoors

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A new idea for RSA backdoors
Mercoledì 13 aprile 2022 alle ore 15:00, presso il Dipartimento di Matematica e Fisica (Edificio C - Aula 311)si terrà il seminario di crittografia del prof. Marco Cesati (Università di Tor Vergata) dal titolo: "A new idea for RSA backdoors".

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Abstract

We present a new method to inject backdoors in RSA and other cryptographic primitives based on the Integer Factorization problem for balanced semi-primes. The method relies on mathematical congruences among the factors of the semi-primes modulo a large prime number, which acts as a "designer key" or "escrow key". In particular, two different backdoors are proposed, one targeting a single semi-prime and the other one a pair of vulnerable semi-primes.
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