Cryptanalysis of RSA with small prime combination
ICISC'10 Proceedings of the 13th international conference on Information security and cryptology
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In 2002, de Weger proposed an attack on small RSA secret decryption exponent with small prime difference |p-q|, which improved the insecure private key bound of Wiener and Boneh-Durfee attacks. Recently, Maitra and Sarkar found new weak keys in another case when 2q-p is small. In this paper, several results on attacking RSA with small prime differences q-p, 2p-q and small private exponent are generalized. Our observation is that when |ip-jq| is small for some integers i,j, we can explore new insecure keys in RSA. One of our results also makes some statement in literature more accurate.