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» Parallel Lattice Basis Reduction
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SCP
2000
135views more  SCP 2000»
14 years 9 months ago
A calculus of functional BSP programs
An extension of the -calculus called BS is introduced as a formal basis for functional languages expressing bulk synchronous parallel algorithms. A con uence result is shown. The ...
Frédéric Loulergue, Gaétan Ha...
CALC
2001
Springer
145views Cryptology» more  CALC 2001»
15 years 2 months ago
Fast Reduction of Ternary Quadratic Forms
We show that a positive definite integral ternary form can be reduced with O(M(s) log2 s) bit operations, where s is the binary encoding length of the form and M(s) is the bit-com...
Friedrich Eisenbrand, Günter Rote
CORR
2010
Springer
171views Education» more  CORR 2010»
14 years 9 months ago
Randomized Lattice Decoding
Sphere decoding achieves maximum-likelihood (ML) performance at the cost of exponential complexity; lattice reduction-aided successive interference cancelation (SIC) significantly...
Shuiyin Liu, Cong Ling, Damien Stehlé
JOC
2002
99views more  JOC 2002»
14 years 9 months ago
The Insecurity of the Digital Signature Algorithm with Partially Known Nonces
We present a polynomial-time algorithm that provably recovers the signer's secret DSA key when a few bits of the random nonces k (used at each signature generation) are known ...
Phong Q. Nguyen, Igor Shparlinski
IACR
2011
141views more  IACR 2011»
13 years 9 months ago
Approximate common divisors via lattices
We analyze the multivariate generalization of Howgrave-Graham’s algorithm for the approximate common divisor problem. In the m-variable case with modulus N and approximate common...
Henry Cohn, Nadia Heninger