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» Parallel Lattice Basis Reduction
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SCP
2000
135views more  SCP 2000»
13 years 10 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»
14 years 3 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»
13 years 11 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»
13 years 10 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»
12 years 10 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