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» Efficient dot product over word-size finite fields
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CORR
2004
Springer
117views Education» more  CORR 2004»
13 years 4 months ago
Efficient dot product over word-size finite fields
We want to achieve efficiency for the exact computation of the dot product of two vectors over word size finite fields. We therefore compare the practical behaviors of a wide range...
Jean-Guillaume Dumas
CORR
2008
Springer
125views Education» more  CORR 2008»
13 years 5 months ago
Simultaneous Modular Reduction and Kronecker Substitution for Small Finite Fields
We present algorithms to perform modular polynomial multiplication or modular dot product efficiently in a single machine word. We pack polynomials into integers and perform sever...
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy
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
EMNLP
2009
13 years 2 months ago
Graphical Models over Multiple Strings
We study graphical modeling in the case of stringvalued random variables. Whereas a weighted finite-state transducer can model the probabilistic relationship between two strings, ...
Markus Dreyer, Jason Eisner
COMBINATORICA
2008
84views more  COMBINATORICA 2008»
13 years 5 months ago
Parity check matrices and product representations of squares
Let NF(n, k, r) denote the maximum number of columns in an n-row matrix with entries in a finite field F in which each column has at most r nonzero entries and every k columns are...
Assaf Naor, Jacques Verstraëte