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» Testing Low-Degree Polynomials over Prime Fields
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COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 5 months ago
A Hybrid of Darboux's Method and Singularity Analysis in Combinatorial Asymptotics
A "hybrid method", dedicated to asymptotic coefficient extraction in combinatorial generating functions, is presented, which combines Darboux's method and singulari...
Philippe Flajolet, Éric Fusy, Xavier Gourdo...
CORR
2008
Springer
162views Education» more  CORR 2008»
13 years 5 months ago
Compressed Modular Matrix Multiplication
Matrices of integers modulo a small prime can be compressed by storing several entries into a single machine word. Modular addition is performed by addition and possibly subtracti...
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy
HPCS
2009
IEEE
13 years 9 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
STOC
2007
ACM
179views Algorithms» more  STOC 2007»
14 years 6 months ago
Towards 3-query locally decodable codes of subexponential length
A q-query Locally Decodable Code (LDC) encodes an n-bit message x as an N-bit codeword C(x), such that one can probabilistically recover any bit xi of the message by querying only...
Sergey Yekhanin
STOC
2009
ACM
156views Algorithms» more  STOC 2009»
14 years 6 months ago
Polynomial-time theory of matrix groups
We consider matrix groups, specified by a list of generators, over finite fields. The two most basic questions about such groups are membership in and the order of the group. Even...
László Babai, Robert Beals, Á...