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RSA
2000
97views more  RSA 2000»
13 years 4 months ago
On the distribution of rank of a random matrix over a finite field
Let M = (mij) be a random n
Colin Cooper
CORR
2010
Springer
98views Education» more  CORR 2010»
13 years 4 months ago
Linear Operator Channels over Finite Fields
Motivated by random linear network coding, we study the communication through channels, called linear operator channels (LOCs), that perform linear operation over finite fields. Fo...
Shenghao Yang, Siu-Wai Ho, Jin Meng, En-Hui Yang
ALGORITHMICA
1999
123views more  ALGORITHMICA 1999»
13 years 4 months ago
Distributed Matrix-Free Solution of Large Sparse Linear Systems over Finite Fields
We describe a coarse-grain parallel software system for the homogeneous solution of linear systems. Our solutions are symbolic, i.e., exact rather than numerical approximations. O...
Erich Kaltofen, A. Lobo
JCT
2010
85views more  JCT 2010»
12 years 11 months ago
Symmetric bilinear forms over finite fields of even characteristic
Let Sm be the set of symmetric bilinear forms on an m-dimensional vector space over GF(q), where q is a power of two. A subset Y of Sm is called an (m, d)-set if the difference of...
Kai-Uwe Schmidt
PC
2002
158views Management» more  PC 2002»
13 years 4 months ago
On parallel block algorithms for exact triangularizations
We present a new parallel algorithm to compute an exact triangularization of large square or rectangular and dense or sparse matrices in any field. Using fast matrix multiplicatio...
Jean-Guillaume Dumas, Jean-Louis Roch