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» Testing Polynomials over General Fields
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STOC
2010
ACM
204views Algorithms» more  STOC 2010»
14 years 4 months ago
On the Hardness of the Noncommutative Determinant
In this paper we study the computational complexity of computing the noncommutative determinant. We first consider the arithmetic circuit complexity of computing the noncommutativ...
Vikraman Arvind and Srikanth Srinivasan
CC
2010
Springer
112views System Software» more  CC 2010»
13 years 1 months ago
Random Cnf's are Hard for the Polynomial Calculus
We show a general reduction that derives lower bounds on degrees of polynomial calculus proofs of tautologies over any field of characteristic other than 2 from lower bounds for r...
Eli Ben-Sasson, Russell Impagliazzo
HPCS
2009
IEEE
13 years 11 months ago
FFT-Based Dense Polynomial Arithmetic on Multi-cores
We report efficient implementation techniques for FFT-based dense multivariate polynomial arithmetic over finite fields, targeting multi-cores. We have extended a preliminary study...
Marc Moreno Maza, Yuzhen Xie
OSDI
2008
ACM
14 years 7 months ago
Disk Drive Workload Captured in Logs Collected During the Field Return Incoming Test
Hard disk drives returned back to Seagate undergo the Field Return Incoming Test. During the test, the available logs in disk drives are collected, if possible. These logs contain...
Alma Riska, Erik Riedel
SETA
2004
Springer
126views Mathematics» more  SETA 2004»
14 years 24 days ago
Algebraic Feedback Shift Registers Based on Function Fields
We study algebraic feedback shift registers (AFSRs) based on quotients of polynomial rings in several variables over a finite field. These registers are natural generalizations o...
Andrew Klapper