TY - GEN
T1 - RSA/rabin bits are 1/2 + 1/poly(log N) secure
AU - Alcxi, Werner
AU - Chor, Benny
AU - Goldreich, Oded
AU - Sehnorr, Claus P.
N1 - Publisher Copyright:
© 1984 IEEE.
PY - 1984
Y1 - 1984
N2 - We prove that RSA least significant bit is 1/2 + 1/logcN secure, for any constant c (where N is the RSA modulus). This means that an adversary, given the ciphertext, cannot guess the least significant bit of the plaintext with probability better than 1/2+ 1/logcN unless he can break RSA. Our proof technique is strong enough to give, with slight modifications, the following related results: 1) The log log N least significant bits are simultaneously 1/2 + 1/logcN secure. 2) The above also holds for Rabin's encryption function. Our results imply that Rabin/RSA encryption can be directly used for pseudo random bits generation, provided that factoring/inverting RSA is hard.
AB - We prove that RSA least significant bit is 1/2 + 1/logcN secure, for any constant c (where N is the RSA modulus). This means that an adversary, given the ciphertext, cannot guess the least significant bit of the plaintext with probability better than 1/2+ 1/logcN unless he can break RSA. Our proof technique is strong enough to give, with slight modifications, the following related results: 1) The log log N least significant bits are simultaneously 1/2 + 1/logcN secure. 2) The above also holds for Rabin's encryption function. Our results imply that Rabin/RSA encryption can be directly used for pseudo random bits generation, provided that factoring/inverting RSA is hard.
UR - http://www.scopus.com/inward/record.url?scp=85049234498&partnerID=8YFLogxK
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AN - SCOPUS:85049234498
T3 - Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS
SP - 449
EP - 457
BT - 25th Annual Symposium on Foundations of Computer Science, FOCS 1984
PB - IEEE Computer Society
T2 - 25th Annual Symposium on Foundations of Computer Science, FOCS 1984
Y2 - 24 October 1984 through 26 October 1984
ER -