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Bases of Cocycle Lattices and Submatrices of a Hadamard Matrix (1998)
by
Winfried Hochstättler
,
Martin Loebl
| Citations: | 1 - 1 self |
BibTeX
@MISC{Hochstättler98basesof,
author = {Winfried Hochstättler and Martin Loebl},
title = {Bases of Cocycle Lattices and Submatrices of a Hadamard Matrix},
year = {1998}
}
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Abstract
We study the lattice lat(M) of cocycles of a binary matroid M . By an isomorphism we show that such lattices are equivalent to lattices generated by the columns of proper submatrices of Sylvester matrices of full row length. As an application we show that the cocycle lattice of a recursively defined class of matroids, including all binary matroids of rank four, always has a basis consisting of cocycles.
