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» Practical polynomial factoring in polynomial time
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QSIC
2007
IEEE
15 years 4 months ago
Towards Automatic Measurement of Probabilistic Processes
In this paper we propose a metric for finite processes in a probabilistic extension of CSP. The kernel of the metric corresponds to trace equivalence and most of the operators in...
Lin Song, Yuxin Deng, Xiaojuan Cai
FOCS
1999
IEEE
15 years 2 months ago
Hardness of Approximating the Minimum Distance of a Linear Code
We show that the minimum distance of a linear code is not approximable to within any constant factor in random polynomial time (RP), unless nondeterministic polynomial time (NP) eq...
Ilya Dumer, Daniele Micciancio, Madhu Sudan
PKC
2010
Springer
126views Cryptology» more  PKC 2010»
14 years 11 months ago
Implicit Factoring with Shared Most Significant and Middle Bits
We study the problem of integer factoring given implicit information of a special kind. The problem is as follows: let N1 = p1q1 and N2 = p2q2 be two RSA moduli of same bit-size, w...
Jean-Charles Faugère, Raphaël Marinier...
FOCS
2007
IEEE
15 years 4 months ago
Linear Equations Modulo 2 and the L1 Diameter of Convex Bodies
We design a randomized polynomial time algorithm which, given a 3-tensor of real numbers A = {aijk}n i,j,k=1 such that for all i, j, k ∈ {1, . . . , n} we have ai jk = aik j = a...
Subhash Khot, Assaf Naor
STOC
2009
ACM
156views Algorithms» more  STOC 2009»
15 years 10 months ago
Polynomial-time theory of matrix groups
We consider matrix groups, specified by a list of generators, over finite fields. The two most basic questions about such groups are membership in and the order of the group. Even...
László Babai, Robert Beals, Á...