A new idea for RSA backdoors

January 31, 2022 Β· Declared Dead Β· πŸ› Cryptogr.

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Authors Marco Cesati arXiv ID 2201.13153 Category cs.CR: Cryptography & Security Citations 5 Venue Cryptogr. Last Checked 4 months ago
Abstract
This article proposes 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 semi-primes. The article also describes the results of tests performed on a SageMath implementation of the backdoors.
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