11 search results - page 1 / 3 » Towards Dimension Expanders over Finite Fields |
COCO
2008
Springer
13 years 6 months ago
2008
Springer
In this paper we study the problem of explicitly constructing a dimension expander raised by [BISW04]: Let Fn be the n dimensional linear space over the field F. Find a small (ide...
AAECC
2002
Springer
13 years 4 months ago
2002
Springer
It is shown that a q-periodic sequence over the finite field Fq passes an extended version of Marsaglia's lattice test for high dimensions if and only if its linear complexity...
TC
2002
13 years 4 months ago
2002
We present a new multivariate interpolation algorithm over arbitrary fields which is primarily suited for small finite fields. Given function values at arbitrary t points, we show ...
AAECC
2002
Springer
13 years 4 months ago
2002
Springer
Abstract. For any integral convex polytope in R2 there is an explicit construction of an error-correcting code of length (q - 1)2 over the finite field Fq, obtained by evaluation o...
DCC
2002
IEEE
14 years 4 months ago
2002
IEEE
We use methods of Mortimer [19] to examine the subcodes spanned by minimumweight vectors of the projective generalized Reed-Muller codes and their duals. These methods provide a p...