On the rank of incidence matrices in projective Hjelmslev spacesReport as inadecuate




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(2014)DESIGNS CODES AND CRYPTOGRAPHY.73(2).p.615-623 Mark abstract Let be a finite chain ring with , , and let . Let be an integer sequence satisfying . We consider the incidence matrix of all shape versus all shape subspaces of with . We prove that the rank of over is equal to the number of shape subspaces. This is a partial analog of Kantor's result about the rank of the incidence matrix of all dimensional versus all dimensional subspaces of . We construct an example for shapes and for which the rank of is not maximal.

Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-5722101



Author: Ivan Landjev and Peter Vandendriessche

Source: https://biblio.ugent.be/publication/5722101



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