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» Parallelizing time with polynomial circuits
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IPPS
1997
IEEE
13 years 11 months ago
Fast Parallel Computation of the Polynomial Shift
Given an n-degree polynomial fx over an arbitrary ring, the shift of fx by c is the operation which computes coefficients of the polynomial fx + c. In this paper we conside...
Eugene V. Zima
TCS
2008
13 years 7 months ago
Nondeterministic polynomial time factoring in the tile assembly model
Formalized study of self-assembly has led to the definition of the tile assembly model, Previously I presented ways to compute arithmetic functions, such as addition and multiplic...
Yuriy Brun
DAM
2008
72views more  DAM 2008»
13 years 7 months ago
Minimization of circuit registers: Retiming revisited
In this paper, we address the following problem: given a synchronous digital circuit, is it possible to construct a new circuit computing the same function as the original one but...
Bruno Gaujal, Jean Mairesse
CORR
2007
Springer
173views Education» more  CORR 2007»
13 years 7 months ago
Computing modular polynomials in quasi-linear time
We analyse and compare the complexity of several algorithms for computing modular polynomials. We show that an algorithm relying on floating point evaluation of modular functions...
Andreas Enge
ECCC
2011
223views ECommerce» more  ECCC 2011»
13 years 2 months ago
A Case of Depth-3 Identity Testing, Sparse Factorization and Duality
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena