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» The Power of Depth 2 Circuits over Algebras
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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
COCO
2011
Springer
221views Algorithms» more  COCO 2011»
12 years 7 months ago
Non-uniform ACC Circuit Lower Bounds
The class ACC consists of circuit families with constant depth over unbounded fan-in AND, OR, NOT, and MODm gates, where m > 1 is an arbitrary constant. We prove: • NTIME[2n ...
Ryan Williams
ISSAC
1997
Springer
138views Mathematics» more  ISSAC 1997»
14 years 1 days ago
Fast Polynomial Factorization Over High Algebraic Extensions of Finite Fields
New algorithms are presented for factoring polynomials of degree n over the finite field of q elements, where q is a power of a fixed prime number. When log q = n1+a , where a ...
Erich Kaltofen, Victor Shoup
DM
2010
77views more  DM 2010»
13 years 8 months ago
Representing (0, 1)-matrices by boolean circuits
A boolean circuit represents an n by n (0,1)-matrix A if it correctly computes the linear transformation y = Ax over GF(2) on all n unit vectors. If we only allow linear boolean f...
Stasys Jukna
TCAD
2010
97views more  TCAD 2010»
13 years 2 months ago
Technology Mapping and Clustering for FPGA Architectures With Dual Supply Voltages
Abstract--This paper presents a technology mapping algorithm for field-programmable gate array architectures with dual supply voltages (Vdds) for power optimization. This is done w...
Deming Chen, Jason Cong, Chen Dong, Lei He, Fei Li...