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» On Factoring Arbitrary Integers with Known Bits
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GI
2007
Springer
14 years 5 months ago
On Factoring Arbitrary Integers with Known Bits
: We study the factoring with known bits problem, where we are given a composite integer N = p1p2 . . . pr and oracle access to the bits of the prime factors pi, i = 1, . . . , r. ...
Mathias Herrmann, Alexander May
IEICET
2008
84views more  IEICET 2008»
13 years 11 months ago
Factorization of Square-Free Integers with High Bits Known
Abstract. In this paper we propose an algorithm of factoring any integer N which has k different prime factors with the same bit-length, when ( 1 k+2 + k(k-1) ) log N high-order bi...
Bagus Santoso, Noboru Kunihiro, Naoki Kanayama, Ka...
ASIACRYPT
2008
Springer
14 years 1 months ago
Solving Linear Equations Modulo Divisors: On Factoring Given Any Bits
We study the problem of finding solutions to linear equations modulo an unknown divisor p of a known composite integer N. An important application of this problem is factorization ...
Mathias Herrmann, Alexander May
TCC
2009
Springer
167views Cryptology» more  TCC 2009»
14 years 11 months ago
Simultaneous Hardcore Bits and Cryptography against Memory Attacks
This paper considers two questions in cryptography. Cryptography Secure Against Memory Attacks. A particularly devastating side-channel attack against cryptosystems, termed the &qu...
Adi Akavia, Shafi Goldwasser, Vinod Vaikuntanathan
ICICS
2004
Springer
14 years 4 months ago
Factorization-Based Fail-Stop Signatures Revisited
Fail-stop signature (FSS) schemes are important primitives because in a fail-stop signature scheme the signer is protected against unlimited powerful adversaries as follows: Even i...
Katja Schmidt-Samoa